1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Find the acceleration of block of mass m w.r.t ground if acceleration of M is b=4 m/s2. (Assume all surfaces to be smooth and string inextensible.)

A
2 m/s2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3 m/s2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
4 m/s2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
1 m/s2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is C 4 m/s2The given system can be reframed as shown From constrained condition and using method of intercept we have ..L1+..L2=0 ⇒ax+bcosθ−b=0 ⇒ax=b(1−cosθ)=b(1−cos60∘) ax=4(1−12)=2 m/s2 From wedge constraint, the accelerations of the bodies along the perpendicular to the surface of contact should be equal. ⇒ ay=bsinθ=bsin60∘=√32×4=2√3 m/s2 ∴a=√a2x+a2y=√22+(2√3)2=√16=4 m/s2 Thus, the net acceleration of the mass m is 4 m/s2

Suggest Corrections
2
Join BYJU'S Learning Program
Related Videos
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program