All surfaces are smooth. Find the acceleration (in ) of sphere in the given figure.

JEE MainPhysicsModerateNewton's Laws of Motion

All surfaces are smooth. Find the acceleration (in $m/s^{2}$ ) of
sphere in the given figure. $(g = 10m/s^{2})$

Show answer and solution

Suppose of acceleration of wedge a_1, towards right and
acceleration of sphere a_2 downward
[IMAGE]

mg - Ncos\theta = {ma}_{2}

.....(1)

Nsin\theta = {ma}_{1}

.....(2)
[IMAGE] From wedge constraint

a_{2}cos\theta = a_{1}sin\theta

From (i),(ii) & (iii)

a_{2} = g\sin^{2}\theta

= 5m/s^{2}

Source: Grass-G / P-16 Physics paper 25 Nov First.docx

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