0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

# An angular structure ABC with side AB=BC=L is made up of two thin rods AB of mass m and BC of mass 2m. The structure when hanged from point A stays in equilibrium with side BC horizontal. Find the value of angle θ.

A
30
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
cos1(25)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
sin1(35)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
π2sin1(35)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B cos−1(25) For equilibrium, the net torque about point A should be zero. Now, the torque due mass m and 2m about A are, τm=mgL2cosθ τ2m=2mg(L2−Lcosθ) For equilibrium, τmg=τ2mg ⇒mgL2cosθ=2mg(L2−Lcosθ) ⇒52cosθ=1 ∴θ=cos−1(25) Hence, option (B) is the correct answer.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Angular SHM
PHYSICS
Watch in App
Join BYJU'S Learning Program