What is the frictional force between the 4.85 kg masss and the table in the following case:Two blocks are arranged at the ends of a massless string. A 4.85 block fixed to one endi is kept on a...

What is the frictional force between the 4.85 kg masss and the table in the following case:

Two blocks are arranged at the ends of a massless string. A 4.85 block fixed to one endi is kept on a table and on the other end a 3.2 kg block can fall freely. The system starts from rest. When the 3.2 kg mass has fallen through 0.399 m, its downward speed is 1.28 m/s. The acceleration due to gravity is 9.8m/s^2.

 

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justaguide | College Teacher | (Level 2) Distinguished Educator

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Two blocks are arranged at the ends of a massless string. A 4.85 block fixed to one end is kept on a table and on the other end a 3.2 kg block can fall freely. The system starts from rest. When the 3.2 kg mass has fallen through 0.399 m, its downward speed is 1.28 m/s.

Use the expression relating initial velocity u, final velocity v, acceleration a and the distance traveled s, v^2 - u^2 = 2*a*s

Here u = 0, v = 1.28 and s = 0.399

a = 1.28^2/(2*0.399) = 2.05 m/s^2

The block of mass 3.2 kg that is falling has a force of gravity equal to 3.2*9.8 N acting on it. This is being countered by the frictional force between the other bock and the table.

3.2*9.8 - F = 3.2*2.05

=> F = 24.78 N

The frictional force between the 4.85 kg mass and the table is 24.78 N

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