Chapter 8, Problem 131P

The 320-lb homogeneous spool is placed on the inclined surface. Determine the vertical force P that is required to keep the spool in the position shown. Assume that there is enough friction to prevent slipping at A.

The block of weight W is pulled by the force P inclined at the angle to the horizontal. Find the smallest force P and the corresponding angle that would cause impending sliding of the block. The angle of static friction between the block and the ground is s.

The leather rein used to fasten the horse to the hitching rail weighs 3.5 oz per foot. The coefficient of static friction between the rail and the rein is 0.6. If a 34-lb force acting on the bridle is sufficient to restrain the horse, determine the smallest safe length L for the free end of the rein.

The 600-lb cable spool is placed on a frictionless spindle that has been driven into the ground. If the force required to start the spool rotating is F = 160 lb, determine the coefficient of friction between the ground and the spool. Neglect the diameter of the spindle compared to the diameter of the spool.

A uniform plank is supported by a fixed support at A and a drum at B that rotates clockwise. The coefficients of static and kinetic friction for the two points of contact are as shown. Determine whether the plank moves from the position shown if (a) the plank is placed in position before the drum is set in motion; and (b) the plank is first placed on the support at A and then lowered onto the drum, which is already rotating.

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5. A box with a mass of 100 kg was originally attached to the spring at position A. After that, pressure was applied to the box until The spring compresses to a distance of X - 1 m and releases it, causing the box to move upwards along the inclined floor. If the incline has and = the coefficient of friction uk = 0.3, find the box that can travel along the incline for a maximum distance in meters.

A 40- kg block is placed on the uniform 10-kg beam, that is supported by the cable, which is attached to the end of the beam. The cable wraps around the pulley, and the cable is connected to the block. If the coefficient of the static friction between the block and the beam is u,-0.6. Neglecting friction forces in the pulley. Determine the maximum distance that the block can be placed from 0 and still remain in eqilibrium. Assume the block will not flip. Distanc Fig. (6) m B Pulley 30 cm

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