A particle is moving on a circle of radius `R` such that at every instant the tangential and radial accelerations are equal in magnitude. If the velocity of the particle be `v_(0)` at `t=0`, the time for the completion of the half of the first revolution will be

A particle is moving in a circle of radius R in such a way that at any instant the tangential retardation of the particle and the normal acceleration of the particle are equal. If its speed at t=0 is v_(0) , the time taken to complete the first revolution is

a particle is moving in a circle of radius R in such a way that at any instant the normal and the tangential component of its acceleration are equal. If its speed at t=0 is v_(0) then time it takes to complete the first revolution is R/(alphav_(0))(1-e^(-betapi)) . Find the value of (alpha+beta) .

A particle is moving in a circle of radius R in such a way that at any instant the normal and tangential components of the acceleration are equal. If its speed at t = 0 is u_(0) the time taken to complete the first revolution is :

A particle is moving in a circle of radius R in such a way that any insant the total acceleration makes an angle of 45^(@) with radius. Initial speed of particle is v_(0) . The time taken to complete the first revolution is:

A particle moves with deceleration along a circle of radius R so that at any moment its tangential and normal accelerations are equal in moduli. At the initial moment t=0 the velocity of the point equals v_(0) . Find (a) the velocity of the point as a function of t and s , (b) the resultant acceleration modulus as a function of v .

A particle moves with deceleration along the circle of radius R so that at any moment of time its tangential and normal acceleration are equal in moduli. At the initial moment t=0 the speed of the particle equals v_(0) , then th speed of the particle as a function of the distance covered S will be

A particle is moving along a circular path ofradius R in such a way that at any instant magnitude of radial acceleration & tangential acceleration are equal. 1f at t = 0 velocity of particle is V_(0) . Find the speed of the particle after time t=(R )//(2V_(0))

A particle is moving along a circular path of radius of R such that radial acceleration of particle is proportional to t^(2) then