Circular and Simple Harmonic Motion
JUPEB Physics

A wheel makes $2$ revolutions per second. Find its angular velocity.

A body moves in a circle of radius $2$ m at a constant speed of $4$ m s$^{-1}$. Find its centripetal acceleration.

A $2$ kg mass is whirled in a horizontal circle of radius $0.5$ m with an angular velocity of $4$ rad s$^{-1}$. Find the centripetal force.

Find the period of a simple pendulum of length $1$ m. (Take $g = 10$ m s$^{-2}$.)

If the length of a simple pendulum is increased to four times its original value, its period will

The displacement of a particle in simple harmonic motion is given by $x = 5\sin 4t$, where $x$ is in metres and $t$ in seconds. Find the amplitude and period of the motion.

A particle executes simple harmonic motion with amplitude $0.2$ m and period $\pi$ s. Find its maximum speed.

A body in simple harmonic motion has amplitude $0.1$ m and angular frequency $5$ rad s$^{-1}$. Find its maximum acceleration.

A $0.5$ kg mass hangs from a spring of force constant $200$ N m$^{-1}$. Find the period of its vertical oscillations.

A car rounds a flat horizontal bend of radius $20$ m. If the coefficient of friction between the tyres and the road is $0.5$, find the maximum speed at which the car can take the bend without skidding…

An oscillating body has a period of $0.02$ s. Find its frequency.

Which of the following quantities remains constant for a body in uniform circular motion?