A block of mass $\mathrm { m } = 1 \mathrm {~kg}$ slides with velocity $\mathrm { v } = 6 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ on a frictionless horizontal surface and collides with a uniform vertical rod and sticks to it as shown. The rod is pivoted about O and swings as a result of the collision making angle $\theta$ before momentarily coming to rest. if the rod has mass $M = 2 \mathrm {~kg}$, and length $\ell = 1 \mathrm {~m}$, the value of $\theta$ is approximately (take $\mathrm { g } = 10 \mathrm {~m} \mathrm {~s} ^ { - 2 }$) (1) $63 ^ { \circ }$ (2) $55 ^ { \circ }$ (3) $69 ^ { \circ }$ (4) $49 ^ { \circ }$
A block of mass $\mathrm { m } = 1 \mathrm {~kg}$ slides with velocity $\mathrm { v } = 6 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ on a frictionless horizontal surface and collides with a uniform vertical rod and sticks to it as shown. The rod is pivoted about O and swings as a result of the collision making angle $\theta$ before momentarily coming to rest. if the rod has mass $M = 2 \mathrm {~kg}$, and length $\ell = 1 \mathrm {~m}$, the value of $\theta$ is approximately (take $\mathrm { g } = 10 \mathrm {~m} \mathrm {~s} ^ { - 2 }$)
(1) $63 ^ { \circ }$\\
(2) $55 ^ { \circ }$\\
(3) $69 ^ { \circ }$\\
(4) $49 ^ { \circ }$