Home
Class 11
PHYSICS
A body describes simple harmonic motion ...

A body describes simple harmonic motion with an amplitude of 5 cm and a period of `0.2s`. Find the acceleration and velocity of the body when the displacement is (a) 5cm, (b) 3cm, (c) 0 cm.

Text Solution

AI Generated Solution

To solve the problem, we will use the formulas for acceleration and velocity in simple harmonic motion (SHM). The formulas are as follows: 1. **Acceleration (a)**: \[ a = -\omega^2 y \] where \( \omega = \frac{2\pi}{T} \) and \( y \) is the displacement. ...
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise NCERT CHAPTER|26 Videos

  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise Higher Order Thinking Skills|13 Videos

  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise NCERT EXERCISES WITH SOLUTIONS|19 Videos

  • MATHEMATICAL TOOLS

    PRADEEP|Exercise Fill in the blanks|5 Videos

  • PHYSICAL WORLD AND MEASUREMENT

    PRADEEP|Exercise Competiton Focus Jee Medical Entrance|18 Videos

Similar Questions

Explore conceptually related problems

A particle executing simple harmonic motion with an amplitude 5 cm and a time period 0.2 s. the velocity and acceleration of the particle when the displacement is 5 cm is

A body is vibrating in simple harmonic motion with an amplitude of 0.06 m and frequency of 15 Hz . The velocity and acceleration of body is

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

Adjacent antinodes of a standing wave on a string are 15.0 cm apart. A particle at an antinode oscillates in simple harmonic motion with amplitude 0.850 cm and period 0.0750 s. The string lies along the +x-axis and is fixed at x=0. (a) find the displacement of a point on the string as a function of position and time. (b) Find the speed of propagation of a transverse wave in the string. (c) Find the amplitude at a point 3.0 cm to the right of an antinode.

A body executing linear simple harmonic motion has a velocity of 3 cm/s when its displacement is 4 cm and a velocity of 4 cm/s when its displacement is 3 cm. Then amplitude of oscillation with be

A body of mass 40g is executing linear simple harmonic motion and has a velocity of 2cm/s when its displacement is 3cm and a velocity of 3 cm/s when its displacement is 2cm . Then

A 0.5 kg body performs simple harmonic motion with a frequency of 2 Hz and an amplitude of 8 mm . Find the maximum velocity of the body, its maximum acceleration and the maximum restoring force to which the body is subjected.

A body undergoing simple harmonic motion has a maximum acceleration of 8 m //s^(2) , and a maximum speed of 1.6 m//s . Find the period and the amplitude of the motion.