## Question

The displacement *x* (in centimetres) of an oscillating particle varies with time *t* (in seconds) as

The magnitude of the maximum acceleration of the particle is

### Solution

Given

#### SIMILAR QUESTIONS

Two springs *A* and *B* have force constants *k*_{1} and *k*_{2} respectively. The ratio of the work done on A to that done on B when they are stretched by the same force is

The mass *m* shown in figure is displaced vertically by a small amount and released. If the system oscillates with a period of 2 seconds, the value of the spring constant *k* is

A spring of force constant *k* is cut into three equal pieces. If these three pieces are connected in parallel, the force constant of the combination will be

Two springs of force constants *k*_{1} and *k*_{2} are connected as shown in figure. The time period of vertical oscillations of mass *m* is given by

A sonometer wire of length 120 cm is divided into three segments of lengths in the ratio of 1 : 2 : 3. What is the ratio of their fundamental frequencies?

A particle is in linear simple harmonic motion between two extreme points*A* and *B*, 10 cm apart (see fig). If the direction from A to B is taken as positive direction, what are signs of displacement *x*, velocity *V* and acceleration *a*, when the particle is at *A*?

A simple harmonic motion of amplitude *A* has a time period T. The acceleration of the oscillator when its displacement is half the amplitude is

A body oscillates harmonically with amplitude 0.05 m. At a certain instant of time its displacement is 0.01 m and acceleration is 1.0 ms^{-2}. What is the period of oscillation?

A tuning fork produces 4 beta per second when sounded with sonometer of vibrating length 48cm. It produces 4 beats per second also when the vibrating length is 50cm. What is the frequency of the tuning fork?

A particle executes SHM of amplitude 25 cm and time periods 3 s. what is the minimum time required for the particle to move between two points located at 12.5 cm on either side of the mean position?