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Inclined Plane Calculations

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1. A weight of 30lb rests on an inclined plane 3 ft high and 5 ft long. a force F making an angle of 30° with the plane pulls the body upward. If the coefficient of friction is 0.20, how much force is necessary to maintain uniform motion upward?

2. A board is 8 ft long. how high will one end be raised so that a block on it will just begin to slide down if the coefficient of friction is 0.30?

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FRICTION
1. A a weight of 30lb rests on an inclined plane 3 ft high and 5 ft long. a force F making an angle of 30° with the plane pulls the body upward. if the coefficient of friction is 0.20, how much force is necessary to maintain uniform motion upward? ...

Solution Summary

This solution calculates the necessary force in each inclined plane scenario with full workings and annotated free body diagrams. All steps are shown with justifications.

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Caculate Tension Problem / Incline Plane and Pulley Problem

Please see attachment.

1. A 70 kg painter standing on a long 5.5 m board which suspended from 2 vertical
ropes attaches to each end of the board. Board is 15 kg.
If the painter stood 1.5 m from one end of the board what will be the tensions in
ropes?

2. We have system with incline plane and pulley.
Incline plane: angle = 30 degree
Pulley: radius = 0.1m, mass = 0.1kg
We have two masses M1 = 8kg and M2 = 3kg connected by sting. M1 on the incline plane, M2 suspended thru pulley (vertically)
(see attachment for diagram)
a. What is the acceleration of the masses? (neglect friction and string mass)
b. If the pulley has a constant frictional torque of 0.05m*N when the system is
in motion what is acceleration of masses? (Hint: Isolate the forces. The tensions
in the string are different. Why?)

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