Q.

A pendulum is oscillating in a vertical plane. The acceleration at the extreme position and lowest position are equal. Then the angular amplitude of the pendulum is

Moderate

Unlock the Full Solution and Master the Concept

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept
By Expert Faculty of Sri Chaitanya

a

tan−12

b

tan−12

c

tan−11/2

d

2tan−112

answer is 4.

(Detailed Solution Below)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

acceleration at the extreme position gsinθ  and lowest position v2l . gsinθ=v2l From conservation of energy  12mv2=mgl1−cosθmv2l=2mg1−cosθgsinθ=2g1−cosθsinθ=4sin2θ22sinθ2cosθ2=4sin2θ2tanθ2=12θ2=tan−112θ=2tan−112
ctaimg
Choose your Grade and Exam
edit icon

Connect with our

Expert Counsellors

access to India's best teachers with a record of producing top rankers year on year.

+91

We will send a verification code via OTP.

whats app icon