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A large rough ramp is inclined φ=35 degrees above the horizontal. A block of mass m...

A large rough ramp is inclined φ=35 degrees above the horizontal. A block of mass m = 5 kg is sliding on the board and the coefficient of kinetic friction between the block and the ramp is μk=0.3 . The block is tied

to a string of length L = 0.25 meters so that the block moves about a circular trajectory. HINT: I'd recommend drawing the FBDs from a side-view.
a) Draw a complete FBD of the block at the moment the block is at the top of its trajectory.
b) Find the speed of the block at the top of its trajectory if the tension in the string is 10 N.

c) Draw a complete FBD of the block at the moment the string is horizontal and the block is moving UP the ramp.

d) Find the speed of the block at the moment in part (c) if the tension in the string is 20 N.
e) Find the acceleration of the block (in unit vector notation) at the moment in part (c)

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Answer #1

We need to be careful about the direction of forces as tension force always act radially inward direction

in the string and centrifugal force act radially outward.

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