AP EAMCET · PHYSICS · Laws of Motion
Two masses and are arranged as shown in the figure. Let '' be the magnitude of the acceleration of the mass . If the mass of is doubled and that of is halved, then the acceleration of the system is
(Treat all surfaces as smooth : masses of pulley and rope are negligible ) 
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Free body diagrams of M1 and M2 are shown below.From the free body diagram of M2M2gsinθ-T=M2aAnd from the free body diagram of M1T=M1aTherefore,a=M2gsinθM1+M2When mass of M1 is doubled and mass of M2 is halved,a'=M22gsinθ2M1+M22⇒a'=M2gsinθ4M1+M2=M1+M24M1+M2a
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