hanging weight, with mass of m1 350 kg_ attached by rope to block with mass mz 0.840 kg as shown in the figure below. The rope goes over pulley with mass of M 0.350 kg_ The pulley can be modeled as hollow cylinder with an inner radius of R_ 0200 and an outer radius of Rz 0.0300 m= the mass of the spokes is negligible: As the weight falls_ the block slides on the table; and the coefficient of kinetic friction between the block and the table is Hk 0.250_ At the instant shown, the block moving with velocity of Vi 0.820 m/s toward the pulley: Assume that the pulley free to spin without friction_ that the rope does not stretch and does not slip on the pulley; and that the mass of the rope is negligible:
Using energy methods find the speed of the block (in m/s) after it has moved distance of 0.700 m away from the initial position shown.
m/s
What is the angular speed
the pulley (in rad/s) after the block has moved this distance?
rad/s