1. A solid uniform 45.0 – kg ball of diameter 32.0 cm is supported against a vertical, frictionless wall using a thin 30.0 – cm wire of negligible mass, as shown in Fig. P5.59. (a) Draw a free-body diagram for the ball and use it to find the tension in the wire. (b) How hard does the ball push against the wall? *DRAW THE FBD PROPERLY K30.0 cm -

1. A solid uniform 45.0 – kg ball of diameter 32.0 cm is supported against a vertical, frictionless wall using a thin 30.0 – cm wire of negligible mass, as shown in Fig. P5.59. (a) Draw a free-body diagram for the ball and use it to find the tension in the wire. (b) How hard does the ball push against the wall? *DRAW THE FBD PROPERLY K30.0 cm -

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter4: The Laws Of Motion

Section: Chapter Questions

Problem 17P: (a) Find the tension in each cable supporting the 6.00 102-N cat burglar in Figure P4.35. (b)...

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Consider the three connected objects shown in Figure P5.43. Assume first that the inclined plane is frictionless and that the system is in equilibrium. In terms of m, g, and , find (a) the mass M and (b) the tensions T1 and T2. Now assume that the value of M is double the value found in part (a). Find (c) the acceleration of each object and (d) the tensions T1 and T2. Next, assume that the coefficient of static friction between m and 2m and the inclined plane is s and that the system is in equilibrium. Find (e) the maximum value of M and (f) the minimum value of M. (g) Compare the values of T2 when M has its minimum and maximum values. Figure P5.43
(a) What is the minimum force of friction required to hold the system of Figure P4.74 in equilibrium? (b) What coefficient of static friction between the 100.-N block and the table ensures equilibrium? (c) If the coefficient of kinetic friction between the 100.-N block and the table is 0.250, what hanging weight should replace the 50.0-N weight to allow the system to move at a constant speed once it is set in motion? Figure P4.74
Consider the three connected objects shown in Figure P5.88. Assume first that the inclined plane is friction-less and that the system is in equilibrium. In terms of m, g, and , find (a) the mass M and (b) the tensions T, and T2. Now assume that the value of Af is double the value found in part (a). Find (c) the acceleration of each object and (d) the tensions T1 and T2. Next, assume that the coefficient of static friction between m and 2m and the inclined plane is m, and that the system is in equilibrium. Find (e) the maximum value of M and (0 the minimum value of M. (g) Compare the values of T2 when M has its minimum and maximum values.
(a) Find the tension in each cable supporting the 6.00 102-N cat burglar in Figure P4.35. (b) Suppose the horizontal cable were reattached higher up on the wall. Would the tension in the other cables increase, decrease, or stay the same? Why? Figure P4.35
A bag of cement whose weight is Fg hangs in equilibrium from three wires as shown in Figure P5.18. Two of the wires make angles 1 and 2 with the horizontal. Assuming the system is in equilibrium, show that the tension in the left-hand wire is T1=Fgcos2sin(1+2) Figure P5.18
(a) If half of the weight of a small 1.00103 kg utility truck is supported by its two drive wheels, what is the magnitude of the maximum acceleration it can achieve on dry concrete? (b) Will a metal cabinet lying on the wooden bed of the truck slip if it accelerates at this rate? (c) Solve both problems assuming the truck has four-wheel drive.
Two blocks connected by a rope of negligible mass are being dragged by a horizontal force (Fig. P5.13). Suppose F = 68.0 N, m1 = 12.0 kg, m2 = 18.0 kg, and the coefficient of kinetic friction between each block and the surface is 0.100. (a) Draw a free-body diagram for each block. Determine (b) the acceleration of the system and (c) the tension T in the rope. Figure P5.13
An aerial demonstration aircraft dives at an angle , accelerating from 95.0 m/s to 145 m/s in 7.00 s (Fig. P5.81). The pilot has hung a 0.150-kg keepsake at the end of a string from the hinge on the aircrafts canopy. During the dive, the string of the keepsake is seen to remain perpendicular to the top of the canopy. a. What is the angle of the aircrafts dive? b. What is the tension in the string? FIGURE P5.81
The person in Figure P5.6 weighs 170 lb. As seen from the front, each light crutch makes an angle of 22.0 with the vertical. Half of the persons weight is supported by the crutches. The other half is supported by the vertical forces of the ground on the persons feet. Assuming that the person is moving with constant velocity and the force exerted by the ground on the crutches acts along the crutches, determine (a) the smallest possible coefficient of friction between crutches and ground and (b) the magnitude of the compression force in each crutch. Figure P5.6
(a) Find the tension in each cable supporting the 6.00 102-N cat burglar in Figure P4.35. (b) Suppose the horizontal cable were reattached higher up on the wall. Would the tension in the other cables increase, decrease, or stay the same? Why? Figure P4.35
(a) What is the minimum force of friction required to hold the system of Figure P4.74 in equilibrium? (b) What coefficient of static friction between the 100.-N block and the table ensures equilibrium? (c) If the coefficient of kinetic friction between the 100.-N block and the table is 0.250, what hanging weight should replace the 50.0-N weight to allow the system to move at a constant speed once it is set in motion? Figure P4.74
12. QCA block of mass 3.00 kg is pushed up against a wall by a force P that makes an angle of 0 = 50.0° with the horizontal as shown in Figure P5.12. o The coefficient of static friction be- g tween the block and the wall is 0.250. (a) Determine the possible values for the magnitude of P that allow the block to remain stationary. (b) De- scribe what happens if P| has a larger value and what hap- pens if it is smaller. (c) Repeat parts (a) and (b), assuming the force makes an angle of 0 = 13.0° with the horizontal.