A wooden block with a force sensor mounted onit sits on a metal track. The mass

Question

A wooden block with a force sensor mounted onit sits on a metal track. The mass of the cart with the sensoris 0.96 kg. The force sensor reading starts out at 2.56N and itbegins to increase, the block starts to move across thetrack when the sensor reads 3.59N. Calculate the coefficient ofstatic friction for the block, be sure to clearly state the valuesof fs(max) and the normal force (N). If the coefficient of static friction cannont be determinedfrom the given information, state why. A wooden block with a force sensor mounted onit sits on a metal track. The mass of the cart with the sensoris 0.96 kg. The force sensor reading starts out at 2.56N and itbegins to increase, the block starts to move across thetrack when the sensor reads 3.59N. Calculate the coefficient ofstatic friction for the block, be sure to clearly state the valuesof fs(max) and the normal force (N). If the coefficient of static friction cannont be determinedfrom the given information, state why.

Explanation / Answer

Given that the mass of cart is m = 0.96 kg The reading in sensor when the block start to move is F =3.59N --------------------------------------------------------------------------------- when the mass on the rough surface the normal force is N =mg Then the frictional force is f = s*N                                          when theblock is ready to move                          frictional fore = Applied force                                 s*N =F                                   s*mg = F                                         s = F / mg                                              = 0.38        This is the maximum value ofcoefficient of static friction

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