For the network of Fig. 5.166 , determine A v . 8 V 3.6 k2 +6 V -10 V B= 75 Sas =5 uS 6.8 k2 4.7 k2 3.9 k2 a = 0.998 Bos = 10 S -5 V FIG. 5.165 FIG. 5.166

For the network of Fig. 5.163 : a. Determine Z i and Z o . b. Find A v . c. Calculate V o if Vi = 1 mV. Fig. 5.163 12 V B = 120 r, = 40 k2 Z 390 k2 5.6 k2 -8 V FIG. 5.163

For the network of Fig. 5.157 : a. Determine r e . b. Find the dc voltages V B , V CB , and V CE . c. Determine Z i and Z o . d. Calculate A v = V o > V i . V Z. B= 70 ro = 60 kn 24 V 3.3 kn 2.2 k 12...

A 50-cm 30-cm 20-cm block weighing 150 N is to be moved at a constant velocity of 1.10 m/s on an inclined surface with a friction coefficient of 0.27. (a) Determine the force F that needs to be...

A 200-kg granite rock ( = 2700 kg/m 3 ) is dropped into a lake. A man dives in and tries to lift the rock. Determine how much force the man needs to apply to lift it from the bottom of the lake. Do...

A 78-percent-efficient 12-hp pump is pumping water from a lake to a nearby pool at a rate of 1.2 ft 3 /s through a constant- diameter pipe. The free surface of the pool is 32 ft above that of the...

The forming section of a plastics plant puts out a continuous sheet of plastic that is 1.2 m wide and 2 mm thick at a rate of 18 m/min. The sheet is subjected to airflow at a velocity of 4 m/s on...

A 2.4-in-diameter smooth ball rotating at 500 rpm is dropped in a water stream at 60F flowing at 4 ft/s. Determine the lift and the drag force acting on the ball when it is first dropped in the water.

A 7-ft-diameter spherical tank completely submerged in fresh water is being towed by a ship at 8 ft/s. Assuming turbulent flow, determine the required towing power.

The in situ moisture content of a soil is 18%, and the moist unit weight is 105 lb/ft 3 . The specific gravity of soil solids is 2.75. This soil is to be excavated and transported to a construction...

In the metal processing industry, heat treatment of metals is commonly done using electrically heated draw batch furnaces. Consider a furnace that is situated in a room with surrounding air...

A turbine blade made of a metal alloy (k=17 W/mK) has a length of 5.3 cm, a perimeter of 11 cm, and a cross-sectional area of 5.13 cm 2 . The turbine blade is exposed to hot gas from the combustion...

For the common-base network of Fig. 4.138 Fig. 4.143 a. Using the information provided determines the value of R C . b. Find the currents I B and I E . c. Determine the voltages V BC and V CE . 9.1 ...

Refer to Figure 12.43. Given that B = 1 m, L = 3 m, and Q = 110 kN, calculate the primary consolidation settlement of the foundation. 1.5 m 1.5 m 2.5 m FIGURE 12.43 Load = Q BXL Sand Clay (normally...

An earth dam section is shown in Figure 8.33. Determine the rate of seepage through the earth dam using Pavlovskys solution. Use k = 4 X 10 -5 mm/s. 3 m 32 m FIGURE 8.33 2.0 1 7 m Impermeable layer...

A zinc alloy has a SDAS of 0.01 cm and m = 0.40. What is the solidification time?

What is the tempering of steels? Why is tempering necessary?

Where is B/t nonzero, in Figure 7.21(b) ?Exploit the analogy between Faradays law and Ampres law to sketch (qualitatively) the electric field. B (in) (a) B (in) (b) changing magnetic field FIGURE...

Two positive point charges, qA and qB (masses mA and mB) are at rest, held together by a massless string of length a. Now the string is cut, and the particles fly off in opposite directions. How fast...

Learning math Developers of a new math curriculum called Accelerated Math compared performances of students taught by their system with control groups of students in the same schools who were taught...

A magnetic disk drive requires a motor to position a read/write head over tracks of data on a spinning disk, as shown in Figure E4.4. The motor and head may be represented by the transfer function...

Resolve the force F 2 into components along the and axes and determine the magnitudes of the components. 75 30 30 F = 6 kN V F = 4 kN

Determine the magnitude and direction of the resultant force. 250 N T 30 400 N 300 N X

Repeat 1.3-10 but use the method of sections to find member forces in AB and DC. (a) Find reaction force components B x , Bz , and O z . (b) Find the axial force in truss member AC. Problem 1.3-10...

The 80-ft-long cable is attached to the boom at A. If x = 60 ft. determine the coordinates y and z to the end of cable B. Take z = 3y. A Z B Probs. 2-93/94 -y

A sandwich beam having steel faces enclosing a plastic core is subjected to a bending moment M = 5 kN m. The thickness of each steel face is t = 3 mm with a modulus of elasticity E s = 200 GPa. The...

The 500-lb force is to be resolved into two components acting along the axis of the struts AB and AC. If the component of force along AC is required to be 300 lb, directed from A to C. determine the...

Determine the maximum weight of the crate that can be suspended from cables AB, AC, and AD so that the tension developed in any one of the cables does not exceed 250 lb. X CGS 3 ft N 2 ft 3 ft- 36% B...

The hold-down clamp exerts a compressive force of 400 N on the wood block at C. If the clamp is loosely bolted to the bench using two symmetrically placed bolts B, one of which is shown, determine...

Determine the moment of force F about an axis extending between O and A. Express the result as a Cartesian vector. X 0.6 m N 0.8 m F = {80i-40j - 120k} N 0.3 m -y

Determine the magnitude of the equivalent resultant force of the distributed loading and specify its location on the beam measured from point A. -4.5 ft- 2 kip/ft -6 ft- 1.5 kip/ft

Replace the force system acting on the beam by an equivalent resultant force and couple moment at point A. A B 30 in. 30 250 lb 12 in. to 16 in. 3 in. -10 in.- 14 in. 45 260 lb 13 12 5 300 lb

Determine the force required to hold the 50-kg mass in equilibrium. B C A B P 191

Determine the components of reaction E. A E -1.5 m- 4 kN/m D -1.5 m- Prob. F6-23 B 2m C 5 kN

Determine the zero-force members in the Pratt roof truss. Explain your answers using appropriate joint free-body diagrams. A B 300 N C 400 N D L K J E F I H 12 m, 6 @ 2 m- 3 m

Determine the greatest load P that can be applied to the truss so that none of the members are subjected to a force exceeding either 2 kN in tension or 1.5 kN in compression. A C 60 60 -3 m- Prob....

Determine the force in each member of the truss and state if the members are in tension or compression. Set P 1 = 200 lb, P 2 = 500 lb. 4 ft A -3 ft- B P - P -4 ft-

Determine the moment of each force about point A. Add these moments and calculate the magnitude and coordinate direction angles of the resultant moment. X 0.8 m F = {30i+20j - 30k} N A 1.20 m 0.4 m y...

Determine the moment about point O of each force acting on the pipe assembly. Add these moments and calculate the magnitude and coordinate direction angles of the resultant moment. 0.8 m Z F = {30i +...

Determine the magnitude of F so that the resultant couple moment acting on the beam is 1.5 kN m clockwise. FA 0.9 m 2 kN Prob. F4-22 B -F 0.3 m 2 kN

Determine the moment of the force F about point A as a function of . Plot the result of M (ordinate) versus (abscissa) for 0 < < 180. 8 ft- 2 ft F = 40 lb

The handle of the hammer is subjected to the force of F = 20 Ib Determine the moment of this force about the point A. 18 in. 30 5 in. B

Two men exert forces of F = 80 Ib and P = 50 Ib on the ropes. Determine the moment of each force about A. Which way will the pole rotate, clockwise or counterclockwise? 12 ft 6 ft A C

If F = {100i-120j +75k} lb and F = {-200i+ 250j + 100k} lb, determine the resultant moment produced by these forces about point O. Express the result as a Cartesian vector. 3 ft 4 ft 5 ft F -y

Determine the moment of each of the three forces about point B. F = 250 N 30% A -2 m -3 mr B F2 = 300 N 60 4 m F3 = 500 N

An infinitely long conductor of radius a carries a uniform current with J = J o a z . Show that the magnetic vector potential for r < a is A = 1 Hopa=

The members of a truss are pin connected at joint O. Determine the magnitude of and its angle for equilibrium. Set F 2 = 6 kN. 5 kN 7 kN 5 30 y 70 0 F F X

Determine the radiation efficiency of a half-wave dipole operating at 6 MHz. The wire is made of copper ( = 58 MS/m) and is 1.2 mm in radius.

A short dipole antenna operates at the AM broadcast band at 1.2 MHz. To achieve a radiation resistance of 0.5, how long must the antenna be?

Determine the moment of inertia of the composite area about the y axis. T 3 in. 3 in. y -3 in. 6 in.. X

Determine the coordinate direction angles of the force. 2 45 -30 F = 75 lb

Determine the resultant moment produced by the forces about point O. O -1m- 600 N -2 m 500 N 45 2.5 m 300 N

The hand clamp is constructed using a square-threaded screw having a mean diameter of 36 mm, a lead of 4 mm, and a coefficient of static friction at the screw of s = 0.3. To tighten the screw, a...

If a horizontal force of F = 50 N is applied perpendicular to the handle of the lever at E, determine the clamping force developed at G. The mean diameter and lead of the single square-threaded screw...

If it takes a vertical force of 60,000 lb to separate the two parts at A and C, determine the force P the hydraulic cylinder must exert on the wedge in order to push it forward. The coefficient of...

The load bar of negligible weight is screwed in place between the walls of the truck bed in order to keep loads from shifting. Determine the torsional moment M that must be applied to the center of...

Two blocks A and B, each having a mass of 6 kg, are connected by the linkage shown. If the coefficient of static friction at the contacting surfaces is s = 0.5 determine the largest vertical force P...

The uniform 5-kg rod rests on the ground at B and against the wall at A. If the rod does not slip at B, determine the smallest coefficient of static friction at A which will prevent slipping at A. X...

Two blocks A and B, each having a mass of 6 kg, are connected by the linkage shown. If the coefficients of static friction at the contacting surfaces are B = 0.8 and A = 0.2, determine the largest...

The uniform crate resting on the dolly has a mass of 500 kg and mass center at G. If the front casters contact a high step, and the coefficient of static friction between the crate and the dolly is ...

The bent rod is supported at A, B, and C by smooth journal bearings. Determine the magnitude of F which will cause the positive x component of reaction at the bearing C to be C x = 50 N. The bearings...

A large stone having a mass of 500 kg is moved along the incline using a series of 150-mm-diameter rollers for which the coefficient of rolling resistance is 3 mm at the ground and 4 mm at the bottom...

The 5-kg skateboard rolls down the 5 slope at constant speed. If the coefficient of kinetic friction between the 12.5-mm-diameter axles and the wheels is k = 0.3, determine the radius of the wheels....

The 4-lb pulley has a diameter of 1 ft and the axle has a diameter of 1 in. If the coefficient of kinetic friction between the axle and the pulley is k = 0.20, determine the vertical force P on the...

The corkscrew is used to remove the 15-mm-diameter cork from the bottle. Determine the smallest vertical force P that must be applied to the handle if the gauge pressure in the bottle is p = 175 kPa...

If the coefficient of static friction at the cone clutch is s , determine the smallest force P that should be applied to the handle in order to transmit the torque M. B M P4 C b

A tube has a total weight of 200 lb, length = 8 ft, and radius = 0.75 ft. If it rests in sand for which the coefcient of static friction is s = 0.23, determine the torque M needed to turn it....

A conveyer belt is used to transfer granular material and the frictional resistance on the top of the belt is F = 500 N. Determine the smallest stretch of the spring attached to the moveable axle of...

Two boys have a tug-of-war using a rope. In the process the rope rubs against a post such that it is deflected 3 on each side of the post. If boy A weighs 60 lb and boy B weighs 50 lb, determine if...

Two boys have a tug-of-war using a rope. In the process the rope rubs against a post such that it is deflected 3 on each side of the post. If boy A weighs 60 lb and boy B weighs 50 lb, determine if...

A girl weighing 100 lb attempts to pull herself up a tree using a rope which is draped over the limb at B. If s = 0.4, determine the smallest force at which she must pull on the rope to lift...

The choker sling is used to lift the smooth pipe that has a mass of 600 kg. If the coefficient of static friction between the loop at the end A of the sling and the rope is s = 0.3, determine the...

If the force T 1 is applied to the rope at A, determine the force T 2 at B needed to pull the rope over the two fixed drums having the angles of contact and the coefficients of static friction shown....

Determine the minimum tension in the rope at points A and B that is necessary to maintain equilibrium. Take s = 0.3 between the rope and the fixed post D. 300 lb T D B 60 A

The uniform rod OA weighs 20 lb, and when the rod is in the vertical position, the spring is unstretched. Determine the position for equilibrium. Investigate the stability at the equilibrium...

Determine the force in the spring required tokeep the 6-kg rod in equilibrium when = 30. The spring remains horizontal due to the roller guide. A k = 200 N/m wwwww 40 Nm 0.5 m

The spring is unstretched when = 0. If P = 8 lb, determine the angle for equilibrium. Due to the roller guide, the spring always remains vertical. Neglect the weight of the links. 2 ft 4 ft. k = 50...

The linkage is subjected to a force of P = 6 kN. Determine the angle for equilibrium. The spring is unstretched at = 60. Neglect the mass of the links. A 0.9 m B 10 k = 20 kN/m wwwwwwwwww P = 6 kN...

Locate the centroid (x, ) of the cross-sectional area of the beam. 6 in. 3 in. 6 in. - 3 in. 2 in. 1

Determine the location y of the centroid for the beams cross-sectional area. 15 mm 400 mm 15 mm -300 mm- - 15 mm -200 mm-

If the coefficient of static friction between the axe and the wood is s = 0.2, determine the smallest angle of the blade which will cause the axe to be self-locking. Neglect the weight of the axe....

The automobile jack is subjected to a vertical load of F = 8 kN. If a square-threaded screw, having a lead of 5 mm and a mean diameter of 10 mm, is used in the jack, determine the force that must be...

The friction pawl is pinned at A and rests against the wheel at B. It allows freedom of movement when the wheel is rotating counterclockwise about C. Clockwise rotation is prevented due to friction...

Assume that (r) and |G(r)| both go to zero faster than 1/r as r . (a) Let F = and G = 0. Show that d 3 r F G = 0. (b) Let F = and G = 0. Show that d 3 r F G = 0. (c) Begin with the vector...

Show that D(x) = lim m sin mx/x is a representation of (x) by showing that dxf (x)D(x) = (0).

Use the Levi-Civit`a symbol to prove that (a) (A B) (C D) = (A C)(B D) (A D)(B C). (b) (f g) = g ( f) f ( g). (c) (A B) (C D) = (A C D)B (B C D)A. (d) The 2 2 Pauli matrices x...

Car B is traveling a distance d ahead of car A. Both cars are traveling at 60 ft/s when the driver of B suddenly applies the brakes, causing his car to decelerate at 12 ft/s. It takes the driver of...

The text used Poissons equation to show that the charge density of a point electric dipole with moment p located at the point r 0 is D (r) = p (r r 0 ). (a) Derive the given formula for D (r)...

(a) Place two charges +q at two diagonal corners of a square (a,a, 0) and two minus charges q at the two other diagonals of the square (a,a, 0). Evaluate the primitive quadrupole moment components Q...

The parallel plates of a microchannel plate electron multiplier are segmented into conducting strips of width b so the potential can be fixed on the strips at staggered values. We model this using...

For a short time, the 250-kg roller-coaster car with passengers is traveling along the spiral track at a constant speed of v = 8 m/s. If the track descends d = 12 m for every full revolution, = 2...

The 150-lb man lies against the cushion for which the coefficient of static friction s = 0.5 is Determine the resultant normal and frictional forces the cushion exerts on him due to rotation about...

The truck has a mass of 1.25 Mg and a center of mass at G. Determine the greatest load it can move if (a) the truck has rear-wheel drive while the front wheels are free to roll, and (b) the truck has...

Determine the normal force, shear force, and moment at points C and D. A 2 ft 6 ft C 45% 3 ft D 2 kip/ft 3 ft B

The disk rolls without slipping such that it has an angular acceleration of = 4 rad/s 2 and angular velocity of = 2 rad/s at the instant shown. Determine the acceleration of points A and B on the...

Determine the velocity of the center of gravity G of the connecting rod at the instant shown. Piston is moving upward with a velocity of 300 in./s. Up = 300 in./s G 30 P O B. 5 in. 2.75 in. 1.45 in.

If the motor turns gear A with an angular acceleration of A = 3 rad/s when the angular velocity is A = 60 rad/s, determine the angular acceleration and angular velocity of gear D. A B -100 mm C 40...

The center of the wheel is moving to the right with a speed of 2 ft/s. If no slipping occurs at the ground, A, determine the velocity of points B and C. 1.5 ft C A 30 2 ft/s B

If P = 30 lb, determine the angular acceleration of the 50-lb roller. Assume the roller to be a uniform cylinder and that no slipping occurs. P 30 1.5 ft

Determine the angular acceleration of the 25-kg diving board, and the horizontal and vertical components of reaction at the pin A, the instant the man dives off. Assume that the board is uniform and...