A pulley with mass M p and a radius R pis attached to the ceiling and rotates wi

Question

A pulley with mass Mp and a radius Rpis attached to the ceiling and rotates with no friction about its pivot. Mass M2 is larger than mass mass m1. The quantities Tn and g are the magnitutudes of the various tensions and the gravitational acceleration.

For each of the following statements, apply the appropriate option (True, False, Equal to, Less than, greater than)

a) m1g is ... T1

b) The acceleration of m1 is ... that of M2

c) T1 + T2 is .... T3

d) The C.M of Mp+M1+M2 accelerates

e) m1g + M2g+Mpg is... T3

f) T1....T2

Explanation / Answer

M2 is greater than the mass m1

So M2 will move down and m1 will move up

a) so m1g will be Less than T1

b) Acceleration of m1 is Equal to that of M2

c) T1 + T2 Equal to T3

d) The C.M of Mp+M1+M2 accelerates True

e) m1g + M2g+Mpg is..Greater than. T3

f) T1..Less than..T2

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