Back to Directory
NEET PHYSICSMedium

The radius of circle, the period of revolution, initial position and sense of revolution are indicated in the fig. y - projection of the radius vector of rotating particle P is :

A

y(t)=3cos2πty(t) = -3 \cos 2\pi t, where y in m

B

y(t)=4sin(πt2)y(t) = 4 \sin \left( \frac{\pi t}{2} \right), where y in m

C

y(t)=3cos(3πt2)y(t) = 3 \cos \left( \frac{3\pi t}{2} \right), where y in m

D

y(t)=3cos(πt2)y(t) = 3 \cos \left( \frac{\pi t}{2} \right), where y in m

Step-by-Step Solution

At t=0t = 0, y displacement is maximum, so equation will be cosine function. T=4 sT = 4 \text{ s}. ω=2πT=2π4=π2 rad/s\omega = \frac{2\pi}{T} = \frac{2\pi}{4} = \frac{\pi}{2} \text{ rad/s}. y=acosωt=3cosπ2ty = a \cos \omega t = 3 \cos \frac{\pi}{2} t.

Practice Mode Available

Master this Topic on Sushrut

Join thousands of students and practice with AI-generated mock tests.

Get Started
Solved: PHYSICS Question for NEET | Sushrut