A 4.0 kg bundle starts up a 30° incline with 200 J of kinetic energy. How far will it
slide up the incline if the coefficient of kinetic friction between the bundle and the incline is
0.42?
A spring, 𝑘 = 950 𝑁/m, attached to a 1.8 kg block is compressed by 20 cm and then
released. If the coefficients of friction between the block and the floor are 𝜇𝑠 = 0.52 and 𝜇𝑘 =
0.38, determine how far does the block slide on the floor.
A 16kg mass is put on a 30° frictionless inclined plane and is attached to a pulley that is connected to a 5kg hanging mass. What should the mass of the object in the inclined plane be in order for the system to attain static equilibrium?
An 70 kilogram guy descends from a height of 10.0 m by holding onto a rope that goes through a frictionless pulley to a 55 kg sandbag. What is the speed at which the man hits the ground if he starts from rest?
A cord 10m long is hung between two posts 6m apart. What maximum load hung at the middle can the system support if the tensile strength of the cord is 350N?
a. 36 ^ c to rad b. 125 degrees to rad c. 2pi / 5 to degrees
1. Convert the following into indicated angle measure unit:
d. pi / 7 to degrees
A bodybuilder holds a dumbbell of weight Wd. His arm is horizontal and weighs 37 N. The deltoid muscle is assumed to be the only muscle acting and is attached to the arm as shown. The maximum force M→ that the deltoid muscle can supply has a magnitude of 1887 N. The distances that locate where the various forces act on the arm. What is the weight of the heaviest dumbbell that can be held by the bodybuilder?
A top is a toy that is made to spin on its pointed end by pulling on a string wrapped around the body of the top. The string has a length of 89 cm and is wrapped around the top at a place where its radius is 53.06 cm. The thickness of the string is negligible. The top is initially at rest. Someone pulls the free end of the string, thereby unwinding it and giving the top an angular acceleration of +19 rad/s^2. What is the final angular velocity of the top when the string is completely unwound?
A pitcher throws a curveball that reaches the catcher in 0.14 s. The ball curves because it is spinning at an average angular velocity of 400 rev/min (assumed constant) on its way to the catcher's mitt. What is the angular displacement of the baseball (in radians) as it travels from the pitcher to the catcher?
A space station consists of two donut-shaped living chambers, A and B, that have the radii shown in the figure. As the station rotates, an astronaut in chamber A is moved 236 m along a circular arc. How far along a circular arc is an astronaut in chamber B moved during the same time if r_a = 463 m and r_b = 493 m?