# Magnitude and Acceleration and Tension

Two blocks, of weights 3.6 N and 7.2 N, are connected by a mass-less string and slide down a 30 degree inclined plane. The coefficient of kinetic friction between the lighter block and the plane is 0.10; that between the heavier block and the plane is 0.20. Assuming that the lighter block leads, find a) the magnitude of the acceleration of the blocks and b) the tension in the string.

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#### Solution Preview

a) The forces acting on the lighter block are gravitational force, friction and spring tension

=> Ftotal = m*a

=> m1*g*cos(30)-m1*g*sin(30)*kmu1-T=m1*a

where kmu1 is the kinetic friction between the lighter block and the plane and T is the tension of the spring

Similarly, for the heavier ...

#### Solution Summary

This solution provides calculations for the magnitude of acceleration and tension in a string.

Magnitude of acceleration and tension, speed of block

In the figure shown, the coefficient of kinetic friction between the block and the incline is 0.29. Disregard any pulley mass or friction in the pulley.

a) What is the magnitude of the acceleration on the suspended block as it falls?

b) What is the magnitude of the tension acting on the suspended block?

c) What is the speed of the suspended block when it has fallen a distance h=1.0m?

See attached for diagram.

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