Q4. A thin circular disc of mass $M$ and radius $R$ is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with angular velocity $\omega$. If another disc of same dimensions but of mass $\mathrm { M } / 2$ is placed gently on the first disc co-axially, then the new angular velocity of the system is : (1) $\frac { 3 } { 2 } \omega$ (2) $\frac { 5 } { 4 } \omega$ (3) $\frac { 2 } { 3 } \omega$ (4) $\frac { 4 } { 5 } \omega$ Q5. [Figure] A block is simply released from the top of an inclined plane as shown in the figure above. The maximum compression in the spring when the block hits the spring is : (1) $\sqrt { 6 } \mathrm {~m}$ (2) $\sqrt { 5 } \mathrm {~m}$ (3) 1 m (4) 2 m
Q4. A thin circular disc of mass $M$ and radius $R$ is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with angular velocity $\omega$. If another disc of same dimensions but of mass $\mathrm { M } / 2$ is placed gently on the first disc co-axially, then the new angular velocity of the system is :\\
(1) $\frac { 3 } { 2 } \omega$\\
(2) $\frac { 5 } { 4 } \omega$\\
(3) $\frac { 2 } { 3 } \omega$\\
(4) $\frac { 4 } { 5 } \omega$
Q5.\\
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A block is simply released from the top of an inclined plane as shown in the figure above. The maximum compression in the spring when the block hits the spring is :\\
(1) $\sqrt { 6 } \mathrm {~m}$\\
(2) $\sqrt { 5 } \mathrm {~m}$\\
(3) 1 m\\
(4) 2 m