Yes, you should be using the 0.5 kg kg cup. Gravity acting on it provides an additional force for the upwards motion of the book.
The resultant forces on the book is:
m_bgsin(theta) - F_kf - T = m_ba
That on the cup:
T - m_cg = m_ca
Where T is the tension in the string, F_kf is the force of kinetic friction, m_b the mass of the book and m_c the mass of the cup.
Find the acceleration a of the whole system (it should be negative since we know that the book stops somewhere).
Then ue kinematics equations to get the distance, time, etc, anything that you will require.
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Jerry (Got my results!) It is easier to protect your feet with slippers than to cover the earth with carpet.
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