If the 2-kg block passes over the top B of the circularportion of the path with a speed

Chapter 3, Problem 3/48

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QUESTION:

If the 2-kg block passes over the top B of the circular portion of the path with a speed of \(3.5 \mathrm{~m} / \mathrm{s}\), calculate the magnitude \(N_B\) of the normal force exerted by the path on the block. Determine the maximum speed v which the block can have at A without losing contact with the path.

                                                       

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QUESTION:

If the 2-kg block passes over the top B of the circular portion of the path with a speed of \(3.5 \mathrm{~m} / \mathrm{s}\), calculate the magnitude \(N_B\) of the normal force exerted by the path on the block. Determine the maximum speed v which the block can have at A without losing contact with the path.

                                                       

ANSWER:

Step 1 of 5

Draw the free body diagram of the block at point B as shown in figure below

 

Here, weight of the block at point B is mg, force on the block at point B is FB the normal force exerted by path on the block NB tangential direction is t and radial direction is n.

Applying Newton's second law of motion for force along the normal direction.

             

         

 

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