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mechanical engineering

Questions and Answers of Mechanical Engineering

The disk has a constant angular velocity of 20 rad/s clockwise. (a) Determine the two values of the angle θ for which the velocity of collar D is zero. (b) For each of these values of θ, determine
Knowing that at the instant shown the angular velocity of rod BE is 4 rad/s counterclockwise, determine (a) The angular velocity of rod AD, (b) The velocity of collar D, (c) The velocity of point A.
Knowing that at the instant shown the velocity of collar D is 1.6 m/s upward, determine (a) The angular velocity of rod AD, (b) The velocity of point B, (c) The velocity of point A.
In the engine system shown, l = 8 in. and b = 3 in. Knowing that the crank AB rotates with a constant angular velocity of 1000 rpm clockwise, determine the velocity of piston P and the angular
In the engine system shown, l = 8 in. and b = 3 in. Knowing that the crank AB rotates with a constant angular velocity of 1000 rpm clockwise, determine the velocity of piston P and the angular
In the position shown, bar AB has an angular velocity of 4 rad/s clockwise. Determine the angular velocity of bars BD and DE.
Bar AB is rotating counterclockwise and, at the instant shown, the magnitude of the velocity of point G is 2.5 m/s. Determine the angular velocity of each of the three bars at that instant.
At the instant shown, bar AB has a constant angular velocity of 25 rad/s counterclockwise. Determine at that instant (a) The angular velocity of the rectangular plate FBDH, (b) The velocity of point
At the instant shown, bar DE has a constant angular velocity of 35 rad/s clockwise. Determine at that instant (a) The angular velocity of the rectangular plate FBDH, (b) The point on the plate FBDH
Knowing that at the instant shown the angular velocity of rod AB is 15 rad/s clockwise, determine (a) The angular velocity of rod BD, (b) The velocity of the midpoint of rod BD.
In the position shown, bar AB has a constant angular velocity of 3 rad/s counterclockwise. Determine the angular velocity of bars BD and DE.
An automobile travels to the right at a constant speed of 80 km/h. If the diameter of the wheel is 560 mm, determine the velocities of points B, C, D, and E on the rim of the wheel.
The 4-in.-radius wheel shown rolls to the left with a velocity of 45 in./s. Knowing that the distance AD is 2.5 in., determine the velocity of the collar and the angular velocity of rod AB when (a)
A helicopter moves horizontally in the x direction at a speed of 180 km/h. Knowing that the main blades rotate clockwise with an angular velocity of 180 rpm, determine the instantaneous axis of
A 5-m beam AE is being lowered by means of two overhead cranes. At the instant shown it is known that the velocity of point D is 1 m/s downward and the velocity of point E is 1.5 m/s downward.
The arm ABC rotates with an angular velocity of 4 rad/s counterclockwise. Knowing that the angular velocity of the intermediate gear B is 8 rad/s counterclockwise, determine(a) The instantaneous
A drum of radius 4 in. is mounted on a cylinder of radius 5 in. A cord is wound around the drum, and its extremity D is pulled to the left with a constant velocity of 6 in./s, causing the cylinder to
At the instant shown during deceleration, the velocity of an automobile is 12 m/s to the right. Knowing that the velocity of the contact point A of the wheel with the ground is 1.5 m/s to the right,
At the instant shown during acceleration, the velocity of an automobile is 12 m/s to the right. Knowing that the velocity of the contact point A of the wheel with the ground is 1.5 m/s to the left,
A roll of paper rests on a horizontal surface as shown. End D of the paper is then pulled to the right with a constant velocity of 8 in./s and it is observed that the center A of the roll moves to
A double pulley is attached to a slider block by a pin at A. The 1.5-in.-radius inner pulley is rigidly attached to the 3-in.-radius outer pulley. Knowing that each of the two cords is pulled at a
Knowing that at the instant shown the angular velocity of rod BE is 4 rad/s counterclockwise, determine (a) The angular velocity of rod AD, (b) The velocity of collar D, (c) The velocity of point A.
Knowing that at the instant shown the angular velocity of rod AB is 15 rad/s clockwise, determine (a) The angular velocity of rod BD, (b) The velocity of the midpoint of rod BD.
Knowing that at the instant shown the angular velocity of bar DC is 18 rad/s counterclockwise, determine (a) The angular velocity of bar AB, (b) The angular velocity of bar BC, (c) The velocity of
Knowing that at the instant shown bar AB is rotating counterclockwise and that the magnitude of the velocity of the midpoint of bar BC is 7.8 ft/s, determine(a) The angular velocity of bar AB,(b) The
Rod ABD is guided by wheels at A and B that roll in horizontal and vertical tracks. Knowing that at the instant shown n β =60? and the velocity of wheel B is 800 mm/s downward, determine (a) The
An overhead door is guided by wheels at A and B that roll in horizontal and vertical tracks. Knowing that when en θ = 40o the velocity of wheel B is 0.6 m/s upward, determine (a) The angular
In the position shown, bar DE has a constant angular velocity of 15 rad/s clockwise. Determine (a) The distance b for which the velocity of point F is vertical, (b) The corresponding velocity of
Collars A and B are pin-connected to bar ABD and can slide along fixed rods. Knowing that at the instant shown the velocity of A is 0.9 m/s to the right, determine (a) The angular velocity of
Small wheels have been attached to the ends of bar AB and roll freely along the surfaces shown. Knowing that the velocity of wheel B is 7.5 ft/s to the right at the instant shown, determine (a) The
At the instant shown, the angular velocity of bar DE is 8 rad/s counterclockwise. Determine(a) The angular velocity of bar BD,(b) The angular velocity of bar AB,(c) The velocity of the midpoint of
Two identical rods ABF and DBE are connected by a pin at B. Knowing that at the instant shown the velocity of point D is 200 mm/s upward, determine the velocity of (a) Point E, (b) Point F.
The pin at B is attached to member ABD and can slide freely along the slot cut in the fixed plate. Knowing that at the instant shown the angular velocity of arm DE is 3 rad/s clockwise, determine(a)
Two collars C and D move along the vertical rod shown. Knowing that the velocity of collar C is 33 in./s downward, determine(a) The velocity of collar D,(b) The angular velocity of memberAB.
Two rods AB and BD are connected to three collars as shown. Knowing that collar A moves downward with a velocity of 6 in./s, determine at the instant shown (a) The angular velocity of each rod, (b)
At the instant shown, the velocity of collar A is 0.4 m/s to the right and the velocity of collar B is 1 m/s to the left. Determine (a) The angular velocity of bar AD, (b) The angular velocity of bar
At the instant shown, the angular velocity of bar AB is 4.5 rad/s counterclockwise and the velocity of collar E is 700 mm/s to the right. Determine (a) The angular velocity of bar BD, (b) The angular
Two rods ABD and DE are connected to three collars as shown. Knowing that the angular velocity of ABD is 5 rad/s clockwise, determine at the instant shown(a) The angular velocity of DE,(b) The
Two 20-in. rods AB and DE are connected as shown. Point D is the midpoint of rod AB, and at the instant shown rod DE is horizontal. Knowing that the velocity of point A is 1 ft/s downward,
Describe the space cent rode and the body cent rode of the gear of Sample Prob. 15.2 as the gear rolls on the stationary horizontal track.
Describe the space cent rode and the body cent rode of rod ABD of Prob.15.83.
Using the method of Sec. 15.7, solve Prob. 15.69. Problem 15.69: An automobile travels to the right at a constant speed of 80 km/h. If the diameter of the wheel is 560 mm, determine the velocities of
Using the method of Sec. 15.7, solve Prob. 15.55. Problem 15.55: In the eccentric shown, a disk of 40-mm-radius revolves about shaft O that is located 10 mm from the center A of the disk. The
Using the method of Sec. 15.7, solve Prob. 15.63. Problem 15.63: In the position shown, bar AB has an angular velocity of 4 rad/s clockwise. Determine the angular velocity of bars BD andDE.
Using the method of Sec. 15.7, solve Prob. 15.63. Problem 15.63: In the position shown, bar AB has an angular velocity of 4 rad/s clockwise. Determine the angular velocity of bars BD and DE.
Bar BDE is attached to two links AB and CD. Knowing that at the instant shown link AB rotates with a constant angular velocity of 3 rad/s clockwise, determine the acceleration (a) Of point D, (b) Of
Bar BDE is attached to two links AB and CD. Knowing that at the instant shown link AB rotates with a constant angular velocity of 3 rad/s clockwise, determine the acceleration (a) Of point D, (b) Of
Collars B and D are pin-connected to bar ABD and can slide along fixed rods. At the instant shown the angular velocity of bar ABD is zero and the acceleration of point D is 7.2 m/s2 to the right.
Collars B and D are pin-connected to bar ABD and can slide along fixed rods. At the instant shown the angular velocity of bar ABD is zero and its angular acceleration is 12 rad/s2 clockwise.
The acceleration of point C is 0.9 ft/s2 downward and the angular acceleration of the beam is 0.8 rad/s2 clockwise. Knowing that the angular velocity of the beam is zero at the instant considered,
Knowing that at the instant shown the velocity of collar A is zero and its acceleration is 0.8 ft/s2 to the left, determine(a) The angular acceleration of rod ADB,(b) The acceleration of pointB.
A heavy crate is being moved a short distance using three identical cylinders as rollers. Knowing that at the instant shown the crate has a velocity of 200 mm/s and an acceleration of 400mm/s2, both
At the instant shown the angular velocity of the wheel is 2 rad/s clockwise and its angular acceleration is 3 rad/s2 counterclockwise, knowing that the wheel rolls without slipping, determine the
A wheel rolls without slipping on a fixed cylinder. Knowing that at the instant shown the angular velocity of the wheel is 10 rad/s clockwise and its angular acceleration is 30 rad/s2
The 360-mm-radius flywheel is rigidly attached to a 30-mm-radius shaft that can roll along parallel rails. Knowing that at the instant shown the center of the shaft has a velocity of 24 mm/s and an
A 60-mm-radius drum is rigidly attached to a 100-mm-radius drum as shown. One of the drums rolls without sliding on the surface shown, and a cord is wound around the other drum. Knowing that at the
A 60-mm-radius drum is rigidly attached to a 100-mm-radius drum as shown. One of the drums rolls without sliding on the surface shown, and a cord is wound around the other drum. Knowing that at the
The motion of the 3-in.-radius cylinder is controlled by the cord shown. Knowing that end E of the cord has a velocity of 12 in./s and an acceleration of 19.2 in./s2, both directed upward, determine
The 5-in.-radius drum rolls without slipping on a portion of a belt which moves downward to the left with a constant velocity of 6 in./s. Knowing that at a given instant the velocity and acceleration
Collar D slides on a fixed horizontal rod with a constant velocity of 1.2 m/s to the right. Knowing that at the instant shown x = 200 mm, determine (a) The angular acceleration of bar BD, (b) The
Collar D slides on a fixed horizontal rod with a constant velocity of 0.6 m/s to the right. Knowing that at the instant shown x = 0, determine(a) The angular acceleration of bar BD,(b) The angular
Knowing that crank AB rotates about point A with a constant angular velocity of 900 rpm clockwise, determine the acceleration of the piston P when θ = 60?.
Knowing that crank AB rotates about point A with a constant angular velocity of 900 rpm clockwise, determine the acceleration of the piston P when θ = 120?.
Arm AB has a constant angular velocity of 16 rad/s counterclockwise. At the instant when θ = 0, determine the acceleration (a) Of collar D, (b) Of the midpoint G of bar BD.
Arm AB has a constant angular velocity of 16 rad/s counterclockwise. At the instant when θ = 90?, determine the acceleration (a) Of collar D, (b) Of the midpoint G of bar BD.
Collar D slides on a fixed vertical rod. Knowing that the disk has a constant angular velocity of 15 rad/s clockwise, determine the angular acceleration of bar BD and the acceleration of collar D
In the two-cylinder air compressor shown the connecting rods BD and BE are each 7.5 in. long and crank AB rotates about the fixed point A with a constant angular velocity of 1500 rpm clockwise.
Knowing that at the instant shown bar AB has a constant angular velocity of 5 rad/s counterclockwise, determine (a) The angular acceleration of bar BD, (b) The angular acceleration of bar DE.
Knowing that at the instant shown bar AB has a constant angular velocity of 4 rad/s clockwise, determine the angular acceleration (a) Of bar BD, (b) Of bar DE.
Knowing that at the instant shown bar AB has a constant angular velocity of 19 rad/s clockwise, determine (a) The angular acceleration of bar BGD, (b) The angular acceleration of bar DE.
Knowing that at the instant shown bar DE has a constant angular velocity of 18 rad/s clockwise, determine (a) The acceleration of point B, (b) The acceleration of point G.
The cross BHDF is supported by two links AB and DE. Knowing that at the instant shown link AB rotates with a constant angular velocity of 4 rad/s clockwise, determine (a) The angular velocity of the
At the instant shown the angular velocity of bar DE is 4 rad/s clockwise and its angular acceleration is 10 rad/s2 counterclockwise. Determine (a) The angular acceleration of bar BGD, (b) The
For the linkage of Prob. 15.68, determine the angular acceleration (a) Of bar BD, (b) Of bar DE.
Knowing that at the instant shown rod AB has a constant angular velocity of 15 rad/s counterclockwise, determine (a) The angular acceleration of rod DE, (b) The acceleration of point D.
Solve the problem indicated making full use of the vector approach as done in Sample Prob. 15.8. Problem 15.126: Knowing that at the instant shown bar AB has a constant angular velocity of 4 rad/s
Solve the problem indicated making full use of the vector approach as done in Sample Prob. 15.8. Problem 15.132: Knowing that at the instant shown rod AB has a constant angular velocity of 15 rad/s
Denoting by A r the position vector of point A of a rigid slab that is in plane motion, show that (a) The position vector C r of the instantaneous center of rotation is rC = rA + ω x vA/ω2 where ω
Crank AB rotates counterclockwise with a constant angular velocity ω, using the method of Sec. 15.9, derive an expression for the angular velocity of rod DE in terms of θ and ω.
Collar D slides on a fixed vertical rod. The disk rotates with a constant clockwise angular velocity ω, using the method of Sec. 15.9 derive an expression for the velocity of point D in terms of θ,
Collar D slides on a fixed vertical rod. The disk rotates with a constant clockwise angular velocity ?. Using the method of Sec. 15.9, derive an expression for the angular acceleration of rod BD in
A disk of radius r rolls to the right with a constant velocity v. Denoting by P the point of the rim in contact with the ground at t = 0, derive expressions for the horizontal and vertical components
Rod AB moves over a small wheel at C while end A moves to the right with a constant velocity vA. Using the method of Sec. 15.9, derive expressions for the angular velocity and angular acceleration of
Rod AB moves over a small wheel at C while end A moves to the right with a constant velocity vA. Using the method of Sec. 15.9, derive expressions for the horizontal and vertical components of the
Pin C is attached to rod CD and slides in a slot cut in arm AB. Knowing that rod CD moves vertically upward with a constant velocity v0, derive an expression for the angular acceleration of arm AB.
The position of rod AB is controlled by a disk of radius r which is attached to yoke CD, knowing that the yoke moves vertically upward with a constant velocity v0, derive an expression for the
Crank AB rotates with a constant clockwise angular velocity ω, using the method of Sec. 15.9, derive expressions for the angular velocity of rod BD and the velocity of the point on the rod
Crank AB rotates with a constant clockwise angular velocity ω, using the method of Sec. 15.9 derive an expression for the angular acceleration of rod BD in terms of θ, ω, b, and l.
A wheel of radius r rolls without slipping along the inside of a fixed cylinder of radius R with a constant angular velocity ω. Denoting by P the point of the wheel in contact with the cylinder at t
In Prob. 15.146, show that the path of P is a vertical straight line when r=R/2. Derive expressions for the corresponding velocity and acceleration of P at any time t. Problem 15.146: A wheel of
Two rotating rods are connected by slider block P. The rod attached at A rotates with a constant clockwise angular velocity ωA. For b = 300 mm and ωA = 10 rad/s, determine for the position
The motion of pin P is guided by slots cut in rods AE and BD. Knowing that the rods rotate with the constant angular velocities ωA = 4 rad/s clockwise and ωB = 5 rad/s clockwise, determine the
Pin P is attached to the wheel shown and slides in a slot cut in bar BD. The wheel rolls to the right without slipping with a constant angular velocity of 20 rad/s. Knowing that x = 24 in. when θ =
Pin P is attached to the wheel shown and slides in a slot cut in bar BD. The wheel rolls to the right without slipping with a constant angular velocity of 20 rad/s. Knowing that x = 24 in. when θ =
Knowing that at the instant shown the angular velocity of bar AB is 15rad/s clockwise and the angular velocity of bar EF is 10rad/s clockwise, determine (a) The angular velocity of rod DE, (b) The
Knowing that at the instant shown the angular velocity of rod DE is 10 rad/s clockwise and the angular velocity of bar EF is 15 rad/s counterclockwise, determine (a) The angular velocity of bar
Bar AB rotates clockwise with a constant angular velocity of 8 rad/s and rod EF rotates clockwise with a constant angular velocity of 6 rad/s. Determine at the instant shown (a) The angular velocity
Bar AB rotates clockwise with a constant angular velocity of 4 rad/s. Knowing that the magnitude of the velocity of collar D is 20 ft/s and that the angular velocity of bar BD is counterclockwise at
In the automated welding setup shown, the position of the two welding tips G and H is controlled by the hydraulic cylinder D and rod BC. The cylinder is bolted to the vertical plate which at the
In Prob. 15.156, determine (a) The velocity of tip G, (b) The acceleration of tip G. Problem 15.156: In the automated welding setup shown, the position of the two welding tips G and H is controlled

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