# 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?)

https://brainmass.com/physics/torques/caculate-tension-problem-incline-plane-pulley-problem-29675

#### Solution Preview

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 ...

#### Solution Summary

The solution is provided in identical attachments in different formats (.pdf and .doc).