Section: Solid Mechanics | Marks: 2
A block of weight Q rests on an inclined plane and it is attached to a string which runs over a frictionless pulley to carry a block of weight P at its other end. The coefficient of friction between the block of weight Q and the inclined plane is µ. Consider the following cases: Case I: weight Q starts moving down the inclined plane Case II: weight P starts falling down The limiting values of ratio P/Q for Case I and Case II respectively are
- A. (sin 𝛼𝛼−𝜇𝜇cos𝛼𝛼) and (sin𝛼𝛼+ 𝜇𝜇cos 𝛼𝛼)
- B. (𝜇𝜇sin 𝛼𝛼−cos 𝛼𝛼) and (𝜇𝜇sin 𝛼𝛼+ cos 𝛼𝛼)
- C. (sin 𝛼𝛼+ 𝜇𝜇cos𝛼𝛼) and (sin𝛼𝛼−𝜇𝜇cos 𝛼𝛼)
- D. (𝜇𝜇sin 𝛼𝛼+ cos 𝛼𝛼) and 𝜇𝜇(sin 𝛼𝛼−cos 𝛼𝛼) XE (GATE 2014)
Answer: A. (sin 𝛼𝛼−𝜇𝜇cos𝛼𝛼) and (sin𝛼𝛼+ 𝜇𝜇cos 𝛼𝛼)