Centripetal Force And Centrifugal Force - Practice Questions & MCQ

An annular ring with inner and outer radii  R₁ and R₂ is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring,F₁/F₂  is,

Two cars of masses m₁ and m₂ are moving in circles of radii r₁ and r₂ respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal acceleration is:

A vehicle of mass 5000 Kg starts taking a circular turn of radius 10 m. The initial speed of the vehicle on a circular track is 5 $\mathrm{m} / \mathrm{s}$ and it is increasing with the rate of $1 \mathrm{~m} / \mathrm{s}^2$. After how much time the vehicle will be just about to overturn [Assume distance between two vehicle $=4 \mathrm{~m}$, the height of the center of mass of vehicle $=2 \mathrm{~m}, \mathrm{~g}=10 \mathrm{~m} / \mathrm{s}^2$ ]

A car starts moving in a circular path with a radius of 200 m. Its speed is increasing at the rate of $2 \mathrm{~m} / \mathrm{s}^2$. The acceleration of the car after 20 seconds of starting motion is 

A particle is going from point A to B in a circular path. The ratio of distance and displacement is

 .

A stone with a mass of  rotates around a horizontal circle at a speed of and a attached to the end of a rope   1m long. What is the centripetal acceleration of the stone?

A stone of mass 1 kg is tied to end of a massless string of length 1 m. If the breaking tension of the string is 400 N, then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is :

An electric field due to a positively charged long straight wire at a distance $r$ from its is proportional to $r^{-1}$ in magnitude. Two electrons are orbiting such a long straight wire in circular orbits of radii $1 A$ and $2 A$ The ratio of their respective time period is:

A car goes around a uniform circular track of radius $R$ at a uniform speed once in every $T$ seconds. The magnitude of the centripetal acceleration is $a_c$. If the car now goes uniformly around a larger circular track of radius $2 R$ and experiences a centripetal acceleration of magnitude $ a_c$, then its time period is: