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Chapter 6: Q57P (page 144)
A puck of mass slides in a circle of radiuson a frictionless table while attached to a hanging cylinder of massby means of a cord that extends through a hole in the table (Fig. 6-43). What speed keeps the cylinder at rest?
The speed that keeps the cylinder at rest is .
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In Fig. 6-34, blocks A and B have weights of and , respectively. (a) Determine the minimum weight of block C to keep A from sliding if between A and the table is . (b) Block C suddenly is lifted off A. What is the acceleration of block A if between A and the table is ?
A locomotive accelerates a 25-car train along a level track. Every car has a mass of and is subject to a frictional force , where the speed vis in meters per second and the force fis in newtons. At the instant when the speed of the train is 30km/h, the magnitude of its acceleration is 0.20 m/s2.
(a) What is the tension in the coupling between the first car and the locomotive? (b) If this tension is equal to the maximum force the locomotive can exert on the train, what is the steepest grade up which the locomotive can pull the train at 30 km/h?
A ski that is placed on snow will stick to the snow. However, when the ski is moved along the snow, the rubbing warms and partially melts the snow, reducing the coefficient of kinetic friction and promoting sliding. Waxing the ski makes it water repellent and reduces friction with the resulting layer of water. A magazine reports that a new type of plastic ski is especially water repellent and that, on a gentle 200 mslope in the Alps, a skier reduced his top-to-bottom time from 61 swith standard skis to 42 swith the new skis. Determine the magnitude of his average acceleration with (a) the standard skis and (b) the new skis. Assuming a slope, compute the coefficient of kinetic friction for (c) the standard skis and (d) the new skis.
A worker pushes horizontally on a crate with a force of magnitude . The coefficient of static friction between the crate and the floor is . (a) What is the value of under the circumstances? (b) Does the crate move? (c) What is the frictional force on the crate from the floor? (d) Suppose, next, that a second worker pulls directly upward on the crate to help out. What is the least vertical pull that will allow the first worker鈥檚 push to move the crate? (e) If, instead, the second worker pulls horizontally to help out, what is the least pull that will get the crate moving?
Repeat Question 1 for force angled upward instead of downward as drawn.
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