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A ball of mass {m} is attached to a cord of length {L}, pivote

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A ball of mass $m$ is attached to a cord of length $L$ , pivoted at point $O$ , as shown in Fig. The ball is released from rest at point A, swings down and makes an inelastic collision with a block of mass $2 m$ kept on a rough horizontal floor. The coefficient of restitution of collision is $e = 2 / 3$ and coefficient of friction between block and surface is After collision, the ball comes momentarily to rest at $C$ when cord makes an angle of $θ$ with the vertical and block moves a distance of $3 L / 2$ on rough horizontal floor before stopping. The values of $μ$ and $θ$ are, respectively,

\frac{50}{243}, cos^{- 1} (\frac{80}{81})

\frac{50}{81}, cos^{- 1} (\frac{80}{81})

\frac{2}{81}, cos^{- 1} (\frac{80}{243})

\frac{2}{243}, cos^{- 1} (\frac{80}{243})

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Elijah Discussed

A ball of mass

m

is attached to a cord of length

L

, pivoted at point

O

, as shown in Fig. The ball is released from rest at point A, swings down and makes an inelastic collision with a block of mass

2 m

kept on a rough horizontal floor. The coefficient of restitution of collision is

e = 2 / 3

and coefficient of friction between block and surface is After collision, the ball comes momentarily to rest at

C

when cord makes an angle of

θ

with the vertical and block moves a distance of

3 L / 2

on rough horizontal floor before stopping. The values of

μ

and

θ

are, respectively,

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Question Text	A ball of mass $m$ is attached to a cord of length $L$ , pivoted at point $O$ , as shown in Fig. The ball is released from rest at point A, swings down and makes an inelastic collision with a block of mass $2 m$ kept on a rough horizontal floor. The coefficient of restitution of collision is $e = 2 / 3$ and coefficient of friction between block and surface is After collision, the ball comes momentarily to rest at $C$ when cord makes an angle of $θ$ with the vertical and block moves a distance of $3 L / 2$ on rough horizontal floor before stopping. The values of $μ$ and $θ$ are, respectively,
Answer Type	Video solution: 1
Upvotes	150