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Consider a simple pendulum of length l and mass m placed in a rail-road cart that has constant acceleration a in the positive x-direction. Obtain Hamilton's canonical equations of motion for this pendulum.
A coin placed on a turntable rotating at 33.6 rev/min will stay there if its center is placed no further than 8.3 cm from the axis of rotation. compute coefficient of friction between the coin and turntable
Kinetic friction is a constant-value force, while static friction changed in response to other forces, up to some maximum, What if static friction behaved more like kinetic friction, with same constant value
A 4.40 kg ball is dropped from a height of 14.0m above one end of a uniform bar that pivots at its center. The bar has mass 7.50kg, How high will the other ball go after collision
A duck is floating on a lake with 21% of its volume beneath the water. What is the average density of the duck
A 12 g bullet is stopped in a block of wood (mw = 5.6 kg). What was the original speed of the bullet
A pair of long rods, each of length L and mass M are connected to a hoop of mass M and radius L/2 to form a 4-spoked wheel. Determine the instantaneous velocity of the mass after the wheel has turned one revolution
An athlete at the gym holds a 1.8-kg steel ball in his hand. His arm is 74-cm long and has a mass of 4.00 kg. What is the magnitude of the torque about his muster if he holds his arm straight out, parallel to the floor.
An explosion breaks an object into two pieces, one of which has 1.48 times the mass of the other. How much kinetic energy did the heavier piece acquire
A cannonball launched with an initial velocity of 131 m/s at an angle of 40° follows a parabolic path and hits a balloon at the top of its trajectory.
Ball A is dropped from the top of a building of height h at the same instant that ball B is thrown vertically upward from the ground. At what height does the collision occur
A spherical bowling ball with mass m = 4 kg and radius R = 0.108 m is thrown down the lane with an initial speed of v = 8.8 m/s. How far does the bowling ball slide before it begins to roll without slipping
An electric motor rotating a workshop grinding wheel at a rate of 8.20 101 rev/min is switched off. Through how many radians has the wheel turned during the interval found in (a)
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