Find the acceleration of block of mass m w.r.t ground if acceleration of M is b=4m/s2. (Assume all surfaces to be smooth and string inextensible.)
A
2m/s2
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B
3m/s2
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C
4m/s2
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D
1m/s2
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Solution
The correct option is C4m/s2 The 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)=2m/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√3m/s2 ∴a=√a2x+a2y=√22+(2√3)2=√16=4m/s2 Thus, the net acceleration of the mass m is 4m/s2