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Standard XII

Physics

Constrained Motion : Intuitive Approach

A uniform squ...

Question

A uniform square plate of mass $m$ is supported as shown. If the cable suddenly breaks, determine; (just after)
(a) The angular acceleration of the plate.

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Solution

So, angular acceleration $= \frac{l i n e a r a c c e l e r a t i o n}{b}$
when it is cut. It is free to rotate about the hinge point $(A)$
$F = m a$
$m g = m a \Rightarrow a = g$

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A uniform square plate of mass m is supported as shown. If the cable suddenly breaks, determine; (just after)(a) The angular acceleration of the plate.

So, angular acceleration=linear accelerationbwhen it is cut. It is free to rotate about the hinge point (A)F=mamg=ma⇒a=g

A uniform square plate of mass $m$ is supported as shown. If the cable suddenly breaks, determine; (just after)
(a) The angular acceleration of the plate.

So, angular acceleration $= \frac{l i n e a r a c c e l e r a t i o n}{b}$
when it is cut. It is free to rotate about the hinge point $(A)$
$F = m a$
$m g = m a \Rightarrow a = g$