Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Figures 14.25 correspond to two circular motions.The radius of the circle, the period of revolution, the initial position,

Q. 14.11 Figures 14.25 correspond to two circular motions. The radius of the circle, the period of revolution, the initial position, and the sense of revolution (i.e. clockwise or anti-clockwise) are indicated on each figure.

                  

Obtain the corresponding simple harmonic motions of the x-projection of the radius vector of the revolving particle P, in each case.

Answers (1)

best_answer

(a) Let the required function be x(t)=asin(\pm \omega t+\phi ) 

Amplitude = 3 cm = 0.03 m

T = 2 s

\\\omega =\frac{2\pi }{T}\\ \omega =\pi rad\ s

Since initial position x(t) = 0, \phi =0

As the sense of revolution is clock wise

\\x(t)=0.03sin(-\omega t)\\ x(t)=-0.03sin(\pi t)

Here x is in metres and t is in seconds.

(b)Let the required function be x(t)=asin(\pm \omega t+\phi ) 

Amplitude = 2 m

T = 4 s

\\\omega =\frac{2\pi }{T}\\ \omega =\frac{\pi }{2} rad\ s

Since initial position x(t) = -A, \phi =\frac{3\pi }{2}

As the sense of revolution is anti-clock wise

\\x(t)=2sin(\omega t+\frac{3\pi }{2})\\ x(t)=-2cos(\frac{\pi }{2} t)

Here x is in metres and t is in seconds.

Posted by

Sayak

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th
anam-khan

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years
anam-khan

CBSE Class 12 accountancy board exam analysis 2024 out; paper rated easy, balanced

Latest Question