5. A block of mass m hangs from a massless rope. The rope passes over a massless pulley, which is fixed to the top of a ramp inclined at angle 0. The other end of the rope is attached to a block of mass M which slides along the ramp. Find the acceleration of the system and the tension in the rope if the coefficient of kinetic friction is µ. (For definiteness, assume that mass M moves down the ramp.) M u - m Once you have an answer, consider the special case where 0=90°. Can you see why this is the same expression as the solution to the Atwood's machine problem?
5. A block of mass m hangs from a massless rope. The rope passes over a massless pulley, which is fixed to the top of a ramp inclined at angle 0. The other end of the rope is attached to a block of mass M which slides along the ramp. Find the acceleration of the system and the tension in the rope if the coefficient of kinetic friction is µ. (For definiteness, assume that mass M moves down the ramp.) M u - m Once you have an answer, consider the special case where 0=90°. Can you see why this is the same expression as the solution to the Atwood's machine problem?
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
Transcribed Image Text:5. A block of mass m hangs from a massless rope. The rope passes over a massless
pulley, which is fixed to the top of a ramp inclined at angle 0. The other end of the rope
is attached to a block of mass M which slides along the ramp. Find the acceleration of
the system and the tension in the rope if the coefficient of kinetic friction is µ. (For
definiteness, assume that mass M moves down the ramp.)
M
u -
m
Once you have an answer, consider the special case where 0=90°. Can you see why
this is the same expression as the solution to the Atwood's machine problem?
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