Question

M m ?

          M
m
?

Added by Ishaan P.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Timothy James

05/06/2024

Step 1

Since the block is at rest, the net force in the direction parallel to the incline is zero. The component of the gravitational force acting down the incline is \(Mg \sin(\theta)\), and this is balanced by the tension force \(T\). Therefore, we can write: \[T = Mg Show more…

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A block of mass M rests on a frictionless incline that makes and angle ̘ with horizontal. It is supported by a rope that is parallel to the incline and attached to a pulley with radius R. A second pulley with radius r is connected to the first and both are free to rotate about their centers. An object of mass m hangs from a rope that is connected to the second pulley. All components of the system are at rest. Part (b) Determine an expression for the tension force on block M. Part (c) Draw the free body diagram for mass m. Part (d) Write an expression for the tension force on the hanging mass in terms of m and g. Part (e) Determine an expression for the hanging mass, m, in terms of M, R, r and ̘. Part (f) If the incline makes an angle of 33.1∘ with the horizontal, the block on the incline has a mass of 6.58kg, and the radii of the pulley are R=0.43m and r=0.19m for the large and small pulleys respectively, determine the hanging mass m.