MHT-CET

3-2.Motion in Plane question bank (Physics)

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Q1.

$A$ particle is performing uniform circular motion. If $\theta$,$\omega$,$\alpha$,and $a$ are its angular displacement,angular velocity,angular acceleration,and centripetal acceleration respectively,then which of the following is '$WRONG$'? ($v$ is its linear velocity)

(A)

$\vec{v} \perp \vec{a}$

(B)

$\vec{\omega} \perp \vec{v}$

(C)

$\vec{\omega} \perp \vec{\alpha}$

(D)

$\vec{\omega} \perp \vec{a}$

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Q2.

The real force $F$ acting on a particle of mass $m$ performing circular motion acts along the radius of a circle of radius $r$ and is directed towards the center of the circle. If the square root of the magnitude of such force is given by $\sqrt{F} = \frac{2 \pi}{T} \sqrt{m r}$,where $T$ is the periodic time,find the expression for the force $F$.

(A)

$\frac{4 \pi^2 m r}{T^2}$

(B)

$\frac{T m r}{4 \pi}$

(C)

$\frac{2 \pi T}{\sqrt{m r}}$

(D)

$\frac{T^2 m r}{4 \pi}$

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