Luggage A is gently lowered with no initial velocity onto a moving baggage claim belt at Orlando International Airport in Florida. The coefficient of kinetic friction between the belt and the luggage is µg. Draw the free-body diagram (FBD) and associated kinetic diagram (KD) for Luggage A immediately after it contacts the belt.
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- 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.The coeffient of static friction between the uniform bar AB of weight W and the ground is 0.45. Find the smallest angle and the corresponding force P that would initiate simultaneous tipping and sliding of the bar.Find the smallest distance d for which the hook will remain at rest when acted on by the force P. Neglect the weight of the hook, and assume that the vertical wall is frictionless.
- Calculate the horizontal force P required to push the 85-lb lawn mower at constant speed. The center of gravity of the mower is at G, and the coefficients of rolling resistance are 0.12 for the front wheels and 0.18 for the rear wheels.The 40-lb spool is suspended from the hanger GA and rests against a vertical wall. The center of gravity of the spool is at G and the weight of the hanger is negligible. The wire wound around the hub of the spool is extracted by pulling its end with the force P. If the coefficient of static friction between the spool and the wall is 0.25, determine the smallest P that will extract the wire.The contact surface between the 36-lb block and 20-lb homogenous cylinder is frictionless. Can the system be in static equilibrium 0n the rough inclined plane?
- A uniform ladder of length 12 mand mass 30 kg rests with one ed on rough horizontal ground and the other end against a smooth vertical wall. The ladder is indined 65°. The coefficient of friction, H, between the ladder and the ground is 0.35. A woman of mass 65 kg is slowly dimbing up the ladder. She wants to know how far up the ladder she can dimb safely. Drawa diagramshowing all the force adting on the ladder when the woman is x metres fromthe foot of the ladder. (a) (b) Find the reaction of the ground on the ladder. (c) Show that the reaction of the wall on the ladder is less than 33.25g By taking moments about the base of the ladder, find how far up th ladder she an dimb safely. (d)For the system shown, the masses of A and B are 55 kg and 135 kg, respectively. The cocfficient of static friction between block B and the surface C is 0.12 and the coefficient of static friction between blocks A and B is 0.10. The coefficient of friction between the rope and the pulley is 0.10. What is the maximum mass M that can be suspended as shown and still maintain equilibrium?For the system shown, the masses of A and B are 55kg and 135kg, respectively. the coefficient of static friction between block B and surface C is 0.12 and the coefficient of static friction between blocks A and B is 0.10. the coefficient of friction between the rope and the pulley is 0.10. What is the tension force in the rope connected to block B if the system is in equillibrium? What is the magnitude of the friction force between block B and the horizontal surface C if the system is in equillibrium? What is the maximum mass that can be suspended as shown and still maintain equillibrium.
- Mary and her sister are playing with a cardboard box on the neighborhood hill. Mary climbs into the box, the total mass of the box with Mary in it is 115 kg. The box starts at rest at the beginning of the incline. The hill is at an incline of 28 degrees with respect to the horizontal.The static and kinectic friction between the box and hill is 0.4 and 0.2 respectively. Assume the box is sliding downhill. a. What is the magnitude of the acceleration of the box? (same as Problem 3b)b. If the hill is 5m tall, what is the Mary's speed when she reaches the bottom?c. At the bottom of the hill, the ground becomes level, but the coefficients offriction do not change. How far will Mary slide before she comes to a stop?A flat belt passes over two idler pulleys and under a rotating drumof diameter 8 in. The axle of the drum is free to move vertically ina slot, and a spring keeps the drum in contact with the belt. Whatis the minimum force which should be exerted by the spring if slippageis not to occur when a 30-lb · ft torque is applied to the drum? Thecoefficient of static friction between belt and drum is 0.30 and theangle of contact is 180 degrees.The uniform bars shown are joined by a frictionless pin at their tops. Thecoefficient of friction between the bars and the floor is 0.30. What is the value of θ whenmotion spends?