A conical pendulum is moving in a circle with angular velocity $\omega $ as shown. If tension in the string is $T$ , which of following equation are correct?
$T = m{\omega ^2}l$
$T\,\sin \,\theta = m{\omega ^2}l$
$T = mg\,\cos \theta $
$T\, = m{\omega ^2}\,l\,\sin \,\theta $
A fly wheel is accelerated uniformly from rest and rotates through $5 \,rad$ in the first second. The angle rotated by the fly wheel in the next second, will be.........$rad$
A particle of mass $200 \,g$ is moving in a circle of radius $2 \,m$. The particle is just 'looping the loop'. The speed of the particle and the tension in the string at highest point of the circular path are $\left(g=10 \,ms ^{-2}\right)$
If a force of constant magnitude acts in direction perpendicular to the motion of a particle, then its
A car is moving in a circular horizontal track of radius $10\, m$ with a constant speed of $10 \,m/sec$. A plumb bob is suspended from the roof of the car by a light rigid rod of length $1.00\, m$. The angle made by the rod with track is ........ $^o$
A particle moving in a circle of radius $R$ with uniform speed takes time $\mathrm{T}$ to complete one revolution. If this particle is projected with the same speed at an angle $\theta$ to the horizontal, the maximum height attained by it is equal to $4 R$. The angle of projection $\theta$ is then given by :