A worker develops a tension T in the cable as he attempts to move the 50-kg cart up the 20 incline. Determine the resulting acceleration of the cart if (a) T = 150 N and (b) T = 200 N. Neglect all...

Two configurations for raising an elevator are shown. Elevator A with attached hoisting motor and drum has a total mass of 900 kg. Elevator B without motor and drum also has a mass of 900 kg. If the...

The standard test to determine the maximum lateral acceleration of a car is to drive it around a 200-ft-diameter circle painted on a level asphalt surface. The driver slowly increases the vehicle...

The car of Prob. 3/61 is traveling at 25 mi/hr when the driver applies the brakes, and the car continues to move along the circular path. What is the maximum deceleration possible if the tires are...

The particle of mass m = 0.2 kg travels with constant speed v in a circular path around the conical body. Determine the tension T in the cord. Neglect all friction, and use the values h = 0.8 m and v...

The hollow tube assembly rotates about a vertical axis with angular velocity = = 4 rad /s and = = 2 rad /s 2 . A small 0.2-kg slider P moves inside the horizontal tube portion under the control...

Once under way at a steady speed, the 1000-kg elevator A rises at the rate of 1 story (3 m) per second. Determine the power input P in into the motor unit M if the combined mechanical and electrical...

The cars of an amusement-park ride have a speed v 1 = 90 km/h at the lowest part of the track. Determine their speed v 2 at the highest part of the track. Neglect energy loss due to friction....

The rigid assembly which consists of light rods and two 1.2-kg spheres rotates freely about a vertical axis. The assembly is initially at rest and then a constant couple M = 2 N m is applied for 5 s....

A 60-g bullet is fired horizontally with a velocity v 1 = 600 m/s into the 3-kg block of soft wood initially at rest on the horizontal surface. The bullet emerges from the block with the velocity v 2...

The 90-kg man dives from the 40-kg canoe. The velocity indicated in the figure is that of the man relative to the canoe just after loss of contact. If the man, woman, and canoe are initially at rest,...

Compute the final velocities v 1 and v 2 after collision of the two cylinders which slide on the smooth horizontal shaft. The coefficient of restitution is e = 0.8. v1 = 7 m/s U2 = 1 m/s %3D m1 = 2...

The 2-kg sphere is projected horizontally with a velocity of 10 m /s against the 10-kg carriage which is backed up by the spring with stiffness of 1600 N/m. The carriage is initially at rest with the...

A system is represented by the state and output equations that follow. Without solving the state equation, find a. The characteristic equation; b. The poles of the system 0 2 3 i = 0 6 5x+ 1 u(t) 4 2...

If v i (t) is a step voltage in the network shown in Figure P4.25, find the value of the resistor such that a 20% overshoot in voltage will be seen across the capacitor if C = 10 -6 F and L = 1 H. R...

The two attached pulleys are driven by the belt with increasing speed. When the belt reaches a speed v = 2 ft/sec, the total acceleration of point P is 26 ft/sec 2 . For this instant determine the...

For the unity feedback system shown in Figure P7.1, where find the steady-state errors for the following test inputs: 25u(t); 37tu(t); 47t 2 u(t). 450(s + 8)(s + 12)(s+ 15) G(s) = s(s + 38)(s + 2s+...

The thin hoop of negligible mass and radius r contains a homogeneous semicylinder of mass m which is rigidly attached to the hoop and positioned such that its diametral face is vertical. The assembly...

Briefly describe the difference between an edge dislocation and a screw dislocation.

Some instruments having angular motion are damped by means of a disk connected to the shaft . The disk, in turn, is immersed in a container of oil, as shown. Derive a formula for the damping torque...

Is the block in this figure stable floating in the position shown? Show your calculations. L= 3H - W= 2H- H H Water

A pipe 15 cm in diameter bends through 135. The velocity of flow of gasoline (SG = 0.8) is 8 m/s, and the pressure is 100 kPa gage throughout the bend. Neglecting gravitational force, determine the...

State Newtons second law of motion. What are the limitations on the use of Newtons second law? Explain.

How long will it take the water surface in the tank shown to drop from h = 3 m to h = 50 cm? 60 cm diameter h 3 cm diameter V= V2gh

The Mach number downstream of a shock wave in helium is 0.85, and the static temperature is 110C. Calculate the velocity upstream of the wave.

A glider at 800 m altitude has a mass of 180 kg and a wing area of 20 m 2 . The glide angle is 1.7, and the air density is 1.2 kg/m 3 . If the lift coefficient of the glider is 0.83, how many minutes...

A bicyclist is capable of delivering 275 W of power to the wheels. How fast can the bicyclist travel in a 3 m/s headwind if his or her projected area is 0.5 m 2 , the drag coefficient is 0.3, and the...

Flow over a rectangular plate produces an average wall shear stress of 1.2 pascals. Calculate the friction drag in units of N. The plate dimensions are 1.5 m by 2.0 m. The plate is inclined at 20...

Air at 60F and atmospheric pressure flows in a horizontal duct with a cross section corresponding to an equilateral triangle (all sides equal). The duct is 100 ft long, and the dimension of a side is...

What is the head loss in terms of V 0 2 /2g for the flow nozzle shown? Vo D 3

An electric hand mixer draws 1.5 amperes at 110 volts. It is used to mix 1 kg of cookie dough for 5 minutes. After mixing, the temperature of the cookie dough is found to have increased by 5C. If the...

Justify the following equations: ( - VR aln T P.x RT RT2 T.x GR Ex, In Exd In = 0 (const T, P) RT

If the molar density of a binary mixture is given by the empirical expression: find the corresponding expressions for V 1 and V 2 p= ag + ajx1 +a2xf

A single P-x 1 -y 1 data point is available for a binary system at 25C. Estimate from the data: (a) The total pressure and vapor-phase composition at 25C for an equimolar liquid mixture. (b) Whether...

Consider a binary liquid mixture for which the excess Gibbs energy is given by G E /RT = Ax 1 x 2 (x 1 + 2x 2 ). What is the minimum value of A for which liquid/liquid equilibrium is possible?

Given below are values of G E /Jmol 1 , H E /Jmol 1 , and C E P / J mol 1 K 1 for some equimolar binary liquid mixtures at 298.15 K. Estimate values of G E , H E , and S E at 328.15 K for one of...

Determine the output voltage of an op-amp for input voltages of V i1 = 200 mV and V i2 = 140 mV. The amplifier has a differential gain of Ad = 6000 and the value of CMRR is: a. 200. b. 10 5 .

Equations analogous to Eqs. (10.15) and (10.16) apply for excess properties. Because ln i is a partial property with respect to G E RT, these analogous equations can be written for ln 1 and ln 2...

Given the information provided in Fig. 4.123 , determine: a. R C . b. R E . c. R B . d. V CE . e. V B . 12 V 2 mA RC RB o 7.6 V Va Vce B = 80 02.4 V RE FIG. 4.123

The pressure above a mixture of ethanol and ethyl acetate at 70C is measured to be 78 kPa. What are the possible compositions of the liquid and vapor phases? Problems 12.3 through 12.8 refer to the...

Assuming an ideal diode, sketch v i , v d , and i d for the half-wave rectifier of Fig. 2.168. The input is a sinusoidal waveform with a frequency of 60 Hz. Determine the profit value of v i from the...

a. For the common-emitter characteristics of Fig. 3.13, find the dc beta at an operating point of V CE = 6 V and I C = 2 mA. b. Find the value of a corresponding to this operating point. c. At V CE =...

a. In Fig. 17.22, if V Z = 50 V, determine the maximum possible value the capacitor C 1 can charge to (VGK 0.7 V). b. Determine the approximate discharge time (5t) for R 3 = 20 k. c. Determine the...

For the fixed-bias configuration of Fig. 7.75 : a. Sketch the transfer characteristics of the device. b. Superimpose the network equation on the same graph. c. Determine I DQ and V DSQ . d. Using...

The stagnation temperature on the Apollo vehicle at Mach 36 as it entered the atmosphere was 11,000 K, a much different value than predicted in Problem 8.17 for the case of a calorically perfect gas...

A unity feedback system has the loop transfer function Determine the relationship between the steady-state error to a ramp input and the gain K and system parameter b. For what values of K and b can...

A simply supported beam is subjected to a linearly varying distributed load q(x) 0 maximum intensity q 0 at B. The beam has a length L = 4 m and a rectangular cross-section with a width of 200 mm and...

Extreme temperature changes result in many failures of electronic circuits. Temperature control feedback systems reduce the change of temperature by using a heater to overcome outdoor low...

A T-frame structure is composed of prismatic beam ABC and non prismatic column DBF that are joined at B by a frictionless pin connection. The beam has sliding support at A and the column is pin...

Three forces act on the ring. Determine the range of values for the magnitude of P so that the magnitude of the resultant force does not exceed 2500 N. Force P is always directed to the right. 1500 N...

Determine the magnitude of the resultant force F R = F 1 + F 2 and its orientation , measured counter clockwise from the positive x axis. F3 = 250 N F = 360 N 30% 45% 30 F = 400 N X

Determine the tension developed in cables OD and OB and the strut OC, required to support the 50-kg crate.The spring OA has an unstretched length of 0.8 m and a stiffness The force in the strut acts...

Determine the tension in the cables in order to support the 100-kg crate. x- C B 2 m N 2.5 m m D 2 m 1 m -y

The 25-kg flowerpot is supported at A by the three cords. Determine the force acting in each cord. x D N 60 30 30 B 45

If the bucket and its contents have a mass of 10 kg and are suspended from the cable by means of a small pulley at C, determine the location x of the pulley for equilibrium. The cable is 6 m long. 4...

Each cord can sustain a maximum tension of 500 N. Determine the largest mass of pipe that can be supported. FM E H B 60 1 Y H D E 25

If the mass of the block at A is 20 kg, determine the mass of the block at B and at C for equilibrium. Also, determine the angles u and f. A D 3 m B E -4 m C 3 m

The 30-kg pipe is supported at A by a system of five cords. Determine the force in each cord for equilibrium. G B 60 A H D E

Let P = 2a x 4a y + a z and Q = a x + 2a y . Find R which has magnitude 4 and is perpendicular to both P and Q.

The rod is supported by smooth journal bearings at A, B, and C and is subjected to the two forces. Determine the reactions at these supports. X A N 0.6 m B 0.6 m A600N 400 N D 0.6 m 0.4 m -y

The file cabinet contains four uniform drawers, each 2.5 ft long and weighing 30 lb/ft. If the empty cabinet (without drawers) has a weight of 40 lb and a center of mass at G, determine how many of...

Determine the force developed in the short link BD, and the tension in the cords CE and CF, and the reactions of the ball-and-socket joint A on the block. 3 m D 6 kN E 9 kN 1.5 m 4m

Determine the components of reaction at the fixed support A. Neglect the thickness of the beam. 3m A 60 200 N 200 N 200 N m- tim- 30 400 N

The truss is supported by a pin at A and a roller at B. Determine the support reactions. 5 kN 4 m 45 2 m 10 kN -2 m- -4 m-

Determine the reaction at fixed support A. A 6 m 0.5 kN/m -3 m- 3 kN 5 kN-m

The 2.5-Mg assembly has a center of mass at G and is hoisted with a constant velocity. Determine the force in each cable and the distance d for equilibrium. 3 m 1 m/ - 4 m P .G 4 m C B 4 m 1.25 m

Determine the magnitude of the moment of the force F = {50i - 20j - 80k} N about the baseline BC of the tripod. X 1.5 m 2 m 2m C 0.5 m B D F N 1 m 4 m A 2.5 m y

The curved pipe has a radius of 5 ft. If a force of 80 lb acts at its end as shown, determine the moment of this force about point C. Solve the problem by using two different position vectors. X 75-...

Using a ring collar the 75-N force can act in the vertical plane at various angles . Determine the magnitude of the moment it produces about point A, plt the result of M (ordinate) versus (abscissa)...

Replace the loading system acting on the post by an equivalent resultant force and couple moment at point O. 60 lb 3 4 P O 30 lb 1 ft 3 ft 2 ft 40 lb X

Determine the magnitude and orientation of of force F and its placement d on the beam so the loading system is equivalent to a resultant force of 20 kN acting vertically downward at point O and a...

Replace the force and couple moment system acting on the beam by an equivalent resultant force and couple moment at point O. 0.2 m -1.5m 30 500 N -2m 15 -1.5 m- 200 N 200 N-m X

Replace the forces acting on the gear by an equivalent resultant force and couple moment acting at point O. 2.25 kN 175 mm 41 60 3 kN 20 175 mm w X

Determine the force P needed to suspend the 100-lb weight. Each pulley has a weight of 10 lb. Also, what are the cord reactions at A and B? A 2 in. C 2 in. 2 in. P

If each cord can support a maximum tension of 500 lb determine the largest weight that can be supported by the pulley system. Each pulley has a weight of 10 lb. A B: 2 in. C 2 in. 2 in. P

Determine the components of reaction at C. 250 N B D -1.5 m-1.5 m-1.5 m-1.5 m- Prob. F6-22 2 m 2m E

Identify the zero-force members in the truss. 1.5 m E A -2 m- 3 kN D B -2m- 'C

Express the moment of the couple acting on the pipe assembly in Cartesian vector form. What is the magnitude of the couple moment? X Z 3 ft 1.5 ft X 1 ft. 20 lb. B 20 lb 1 ft 2 ft

If F = 80N, determine the magnitude and coordinate direction angles of the couple moment. The pipe assembly lies in the xy plane. X F 3 in. 3 in. 4 in. 10 lb Z -F 10 lb 30 -P 6 in. y

Three couple moments act on the pipe assembly. Determine the magnitudes of M 2 and M 3 so that the resultant couple moment is zero. My 0-2 120 120 120* M M-80N m

The force F = {6i + 8j + 10k} creates a moment about point O of M O = {-14i + 8j + 2k} N m. If the force passes through a point having an x coordinate of 1 m, determine the y and z coordinates of...

A force of F = {6i - 2j + 1k} k N produces a moment M O = {4i + 5j - 14k} of about the origin of coordinates, point O. If the force acts at a point having an x coordinate of x = 1 m, determine the y...

The pipe assembly is subjected to the 80-N force. Determine the moment of this force about point B. + 200 mm 30 N F = 80 N 400 mm 40 250 mm 300 mm 200 mm y

The curved rod has a radius of 5 ft. If a force of 60 lb acts at its end as shown, determine the moment of this force about point C. 5 ft -7 ft C 60 5 ft B 60 lb 6 ft

Determine the moment of the force of F = 600 N about point A. X 6 m B 45 4 m F N A 4 m 6 m

Determine the moment of the force F about point P. Express the result as a Cartesian vector. P X 2 m -3 m- 0 3 m- T A 1 m F = {2i + 4j6k) kN 3 m

The man pulls on the rope with a force of F = 20 N. Determine the moment of this force about the base of the pole at O. Solve the problem two ways, i.e., by using a position vector from O to A, then...

Determine the moment of the force F about point P. Express the result as a Cartesian vector. F = (-6i+4j+ 8k) kN 6 m x A -2 m- O N 4 m 1m P 3 m

Determine the smallest force F that must be applied to the rope in order to create a moment of M = 900 N m at point O. x B 1.5 m m F A 10.5 m

Determine the couple moment acting on the pipe assembly and express the result as a Cartesian vector. x B FA = 450 N 0.4 m 35 4 5 0.3 m 0 FB = 450 N C

The force F = {400i - 100j - 700} Ib acts at the end of the beam. Determine the moment of this force about point A. T 1.5 ft B -0.25 ft 8 ft N

A force of 80 N acts on the handle of the paper cutter at A. Determine the moment created by this force about the hinge at O, if = 60 At what angle should the force be applied so that the moment it...

If the man at B exerts a force of p = 30 Ib on his rope, determine the magnitude of the force F the man at C must exert to prevent the pole from rotating, i.e., so the resultant moment about A of...

Determine the moment of the force F about point O. Express the result as a Cartesian vector. F = (-6i+4j+ 8k) kN 6 m X -2 m- N 4 m 1m P 3 m

The cable exerts a force of P = 6 kN at the end of the 8-m-long crane boom. If = 30, determine the placement x of the hook at B so that this force creates a maximum moment about point O. What is...

If F B = 30 and F c = 45 Ib determine the resultant moment about the bolt located at A. 2.5 ft 20 FB 0.75 ft 30 Fc

The man exerts the wo forces on the handle of the shovel. Determine the resultant moment of these forces about the blade at A. 800 mm 65 450 mm F = 12 N F = 30 N 30 20

The pliers are used to grip the tube at B. If a force of 20 lb is applied to the handles, determine the shear force and moment at point C. Assume the jaws of the pliers exert only normal forces on...

Region 1 is defined by x y + 2z > 5 with 1 = 2 o , while region 2 is defined by x y + 2z < 5 with 2 = 5 o . If H 1 = 40a x + 20a y 30a z A/m, find (a) H 1n , (b) H 2t ,

Determine the moment of inertia of the area about the x axis. -3 in.3 in. 2 in. 6 in. 4 in. X