The equation of motion of a body is S.H....

The equation of motion of a body is S.H.M. is x=4 `sin(pit+pi/3)`. The velocity at the end of 4 seconds will be

A

`pi` cm/s

B

`pi/2` cm/s

C

`3/2` cm/s

D

`2pi` cm/s

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

OSCILLATIONS
TARGET PUBLICATION|Exercise COMPETITIVE THINKING|135 Videos
OSCILLATIONS
TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
OSCILLATIONS
TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
MODEL QUESTION PAPER
TARGET PUBLICATION|Exercise MODEL QUESTION PAPER -II|47 Videos
QUESTION PAPER 2019
TARGET PUBLICATION|Exercise MCQ|45 Videos

Similar Questions

Explore conceptually related problems

The equation of motion of a body in S.H.M. is x=4 sin(pit+pi/3) . The acceleration, in cm//S62 , at the end of 4 s will be

The equation of motion of a body is S.H.M. IS X=4 sin(pit+pi/3) . The frequency, per minute, of the motion is

The equation of motion of a body executing S.H.M. is x= acos . (pi)/(3) ( t +1) . Find the time at which the body comes to rest for first time.

The equation of a progressive wave is y =4 sin (4 pi t-0.04 x+pi/3) where x is in metre and t is in second. The velocity of the wave is

The equation of displacement of particle performing S.H.M. is x = 0.25 sin (200 t). The maximum velocity is

The displacement equation of a particle performing S.H.M. is x = 10 sin (2pit+(pi)/(6)) m. Then the initial displacement of a particle is

The equation of linear SHM is x= 10 sin ( 4pi t + pi/6) cm. Find the period and maximum speed of the motion.

The equation of motion of a particle executing a linear S.H.M. is given by x =10 "sin" (4t-pi//6)cm . What is its velocity, when x=6 ?

If displacement time equation of an S.H.M. is x= sin . (pit)/(6) , then the moment of times at which peak value of acceleration is attained are

TARGET PUBLICATION-OSCILLATIONS -Critical thinking

A particle is executing simple harmonic motion with a period of T se...
Text Solution
|
The equation of motion of a body is S.H.M. IS X=4 sin(pit+pi/3). The f...
Text Solution
|
The equation of motion of a body is S.H.M. is x=4 sin(pit+pi/3). The v...
Text Solution
|
The equation of motion of a body in S.H.M. is x=4 sin(pit+pi/3). The a...
Text Solution
|
A particle is moving in a straight line with S.H.M. of amplitude r. At...
Text Solution
|
A particle is performing linear S.H.M. If the acceleration and corresp...
Text Solution
|
A body of mass 36 g moves with S.H.M. of amplitude A = 13 cm and time ...
Text Solution
|
The displacement of a particle executing S.H.M. is x = 5 sin (20pit). ...
Text Solution
|
A body oscillates with simple harmonic motion according to the equatio...
Text Solution
|
A particle performs S.H.M. with amplitude 5 m, period 0.02 . s and x =...
Text Solution
|
A particle moves with simple harmonic motion in a straight line. In fi...
Text Solution
|
A simple harmonic motion is given by the equation x=10cos 10pit. The p...
Text Solution
|
The equation of linear simple harmonic motion is x = 8 cos(12pit) wher...
Text Solution
|
A particle is performing linear S.H.M. with frequency 1 Hz and amplitu...
Text Solution
|
Given equation of S.H.M. is y = 10 sin(20t+0.5). The initial phase is
Text Solution
|
A simple harmonic motion is represented by the equation, y = 5 sin pi(...
Text Solution
|
The amplitude and the periodic time of a S.H.M. are 5 cm and 6 sec res...
Text Solution
|
The velocity and acceleration of a particle performing S.H.M. have a s...
Text Solution
|
A particle in S.H.M. has velocity of 6.28 emfs, two seconds after pass...
Text Solution
|
A particle is in S.H.M. along a straight line 0.2 m long with a period...
Text Solution
|