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Standard XII

Physics

Instantaneous Axis of Rotation

A rod of leng...

Question

A rod of length 1 m is sliding in a corner as shown in figure. At an instant when the rod makes an angle of 60 degrees with the horizontal plane., the velocity of point A on the rod is 1 m/s. The angular velocity of the rod at this instant is

2 rad/s

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1.5 rad/s

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0.5 rad/s

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0.75 rad/s

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Solution

The correct option is A 2 rad/s

$V_{a} = O^{'} A \times ω$
Here, O' is the instantaneous centre of rotation.
$1 = 1 c o s 60^{o} \times ω$
or $ω = \frac{1}{c o s 60^{o}} = \frac{1}{0.5} = 2 r a d / s$

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A rod of length 1 m is sliding in a corner as shown in figure. At an instant when the rod makes an angle of 60 degrees with the horizontal plane., the velocity of point A on the rod is 1 m/s. The angular velocity of the rod at this instant is

The correct option is A 2 rad/s Va=O′A×ω Here, O' is the instantaneous centre of rotation. 1=1cos 60o×ω or ω=1cos60o=10.5=2rad/s

The correct option is A 2 rad/s

$V_{a} = O^{'} A \times ω$
Here, O' is the instantaneous centre of rotation.
$1 = 1 c o s 60^{o} \times ω$
or $ω = \frac{1}{c o s 60^{o}} = \frac{1}{0.5} = 2 r a d / s$