A cylinder of mass M at rest on the end of a string causes a tension FT1 in the string. If the cylinder is allowed to swing, the tension in the string when it is vertical is FT2. How do the two tensions FT1 and FT2 compare in magnitude?

An object of mass m = 1.00 kg is observed to have an acceleration a with a magnitude of 10.0 m/s2 in a direction 60.0 east of north. Figure P4.29 shows a view of the object from above. The force F2 acting on the object has a magnitude of 5.00 N and is directed north. Determine the magnitude and direction of the one other horizontal force F1 acting on the object. Figure P4.29

An automobile driver traveling down an 8% grade slams on his brakes and skids 30 m before hitting a parked car. A lawyer hires an expert who measures the coefficient of kinetic friction between the tires and road to be k = 0.45. Is the lawyer correct to accuse the driver of exceeding the 25-MPH speed limit? Explain.

The starship Enterprise has its tractor beam locked onto some valuable debris and is trying to pull it toward the ship. A Klingon battle cruiser and a Romulan warbird are also trying to recover the item by pulling the debris with their tractor beams as shown in Figure P5.25. a. Given the following magnitudes of the tractor beam forces, find the net force experienced by the debris: FEnt = 7.59 106 N, FRom = 2.53 106 N, and FKling = 8.97 105 N. b. If the debris has a mass of 2549 kg, what is the net acceleration of the debris? FIGURE P5.25

An aluminum block of mass m1 = 2.00 kg and a copper block of mass m2 = 6.00 kg are connected by a light string over a frictionless pulley. They sit on a steel surface as shown in Figure P5.46, where = 30.0. (a) When they are released from rest, will they start to move? If they do, determine (b) their acceleration and (c) the tension in the string. If they do not move, determine (d) the sum of the magnitudes of the forces of friction acting on the blocks. Figure P5.46

In the system shown in Figure P5.23, a horizontal force Facts on an object of mass m2 = 8.00 kg. The horizontal surface is frictionless. Consider the acceleration of the sliding object as a function of Fr. (a) For what values of Fr does the object of mass m1 = 2.00 kg accelerate upward? (b) For what values of Fr is the tension in the cord zero? (c) Plot the acceleration of the m2 object versus F1. Include values of Fr from 100 N to +100 N. Figure P5.23

A nurse pushes a cart by exerting a force on the handle at a downward angle 35.0° below the horizontal. The loaded cart has a mass of 28.0 kg, and the force of friction is 60.0 N. (a) Draw a free-body diagram for the system of interest. (b) What force must the nurse exert to move at a constant velocity?

Two forces F1 and F2 act on a 5.00-kg object. Taking F1 = 20.0 N and F2 = 15.0 N, find the accelerations of the object for the configurations of forces shown in parts (a) and (b) of Figure P4.7. Figure P4.7

Calculate the normal force on a 15.0 kg block in the following circumstances: (a) The block is resting on a level surface. (b) The block is resting on a surface tilted up at a 30.0 angle with respect to the horizontal. (c) The block is resting on the floor of an elevator that is accelerating upwards at 3.00 m./s2. (d) The block is on a level surface and a force of 125 N is exerted on it at an angle of 30.0 above the horizontal. (Sec Section 1.5.)