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Caculate Tension Problem / Incline Plane and Pulley Problem

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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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Hi there!

Here are the solutions to these two problems! (See attachments.)

40.
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?

We have two equilibrium equations here:
1. The total linear forces must be zero (the board does not fall down)
2. The total torque about any point is zero (there is no ...

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