A simple pendulum is made of a string of length l and a bob of mass m, is released from a small angle θ0. It strikes a block of mass M, kept on a horizontal surface at its lowest point of oscillations, elastically. It bounces back and goes up to an angle θ1. Then, M is given by

\(\frac{{\rm{m}}}{2}\left( {\frac{{{{\rm{\theta }}_0} - {{\rm{\theta }}_1}}}{{{{\rm{\theta }}_0} + {{\rm{\theta }}_1}}}} \right)\)

\({\rm{m}}\left( {\frac{{{{\rm{\theta }}_0} + {{\rm{\theta }}_1}}}{{{{\rm{\theta }}_0} - {{\rm{\theta }}_1}}}} \right)\)

\({\rm{m}}\left( {\frac{{{{\rm{\theta }}_0} - {{\rm{\theta }}_1}}}{{{{\rm{\theta }}_0} + {{\rm{\theta }}_1}}}} \right)\)

\(\frac{{\rm{m}}}{2}\left( {\frac{{{{\rm{\theta }}_0} + {{\rm{\theta }}_1}}}{{{{\rm{\theta }}_0} - {{\rm{\theta }}_1}}}} \right)\)

A simple pendulum is made of a string of length l and a bob of mass m,

1.	A simple pendulum is made of a string of length l and a bob of mass m, is released from a small angle θ0. It strikes a block of mass M, kept on a horizontal surface at its lowest point of oscillations, elastically. It bounces back and goes up to an angle θ1. Then, M is given by
A.	\({\rm{m}}\left( {\frac{{{{\rm{\theta }}_0} + {{\rm{\theta }}_1}}}{{{{\rm{\theta }}_0} - {{\rm{\theta }}_1}}}} \right)\)
B.	\(\frac{{\rm{m}}}{2}\left( {\frac{{{{\rm{\theta }}_0} - {{\rm{\theta }}_1}}}{{{{\rm{\theta }}_0} + {{\rm{\theta }}_1}}}} \right)\)
C.	\({\rm{m}}\left( {\frac{{{{\rm{\theta }}_0} - {{\rm{\theta }}_1}}}{{{{\rm{\theta }}_0} + {{\rm{\theta }}_1}}}} \right)\)
D.	\(\frac{{\rm{m}}}{2}\left( {\frac{{{{\rm{\theta }}_0} + {{\rm{\theta }}_1}}}{{{{\rm{\theta }}_0} - {{\rm{\theta }}_1}}}} \right)\)
Answer» B. \(\frac{{\rm{m}}}{2}\left( {\frac{{{{\rm{\theta }}_0} - {{\rm{\theta }}_1}}}{{{{\rm{\theta }}_0} + {{\rm{\theta }}_1}}}} \right)\)

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A simple pendulum is made of a string of length l and a bob of mass m, is released from a small angle θ0. It strikes a block of mass M, kept on a horizontal surface at its lowest point of oscillations, elastically. It bounces back and goes up to an angle θ1. Then, M is given by