As shown in right Figure, a pulley has a moment of inertia j=0.5kg m^2 and a radius r=30 cm. The spring has a spring constant k=20 N/m and the block has a mass m=2.0 kg. Assume the block-pulley system starts from rest and no initial stretch is applied on the spring.
(a) How far will the block move along the inclined?
(b) If the block slides 1.00 m along the inclined, what is its speed?
Consider the free-body diagram of the block-spring system.
Consider the spring is stretched as x, the displacement of the block along the incline will be the same.
Apply work-energy theorem on the system. The system starts from the rest, its initial kinetic energy will be the zero.
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