If the string of a conical pendulum makes an angle $\theta$ with horizontal, then square of its time period is proportional to
$\sin \theta$
$\cos \theta$
$\tan \theta$
$\cot \theta$
In circular motion, the centripetal acceleration is given by
A particle is moving in a circle
Two bodies $A$ & $B$ rotate about an axis, such that angle $\theta_A$ (in radians) covered by first body is proportional to square of time, & $\theta_B$ (in radians) covered by second body varies linearly. At $t = 0, \theta \,A = \theta \,B = 0$. If $A$ completes its first revolution in $\sqrt \pi$ sec. & $B$ needs $4\pi \,sec$. to complete half revolution then; angular velocity $\omega_A : \omega_B$ at $t = 5\, sec$. are in the ratio
Can you associate vectors with $(a)$ the length of a wire bent into a loop, $(b)$ a plane area, $(c)$ a sphere ? Explain.
If a body moving in circular path maintains constant speed of $10\,ms^{-1},$ then which of the following correctly describes relation between acceleration and radius ?