A human (m=50kg) slides down a ramp inclined at 60 degrees. Determine the acceleration of the...

A human (m=50kg) slides down a ramp inclined at 60 degrees. Determine the acceleration of the human. Assume uk= 0.35

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Expert Solution

As given that that the mass is sliding down with uk=0.35

So when the weight is resolved into its horizontal component

the vertical component will be as follows

now this force will be balanced by Normal Reaction. So,

and there is a retarding force(which is frictional force) to the horizontal component of weight

but as there is motion so horizontal force must be greater than the frictional force as the motion is downward

now writing the equation of motion

-(1)

now as we know

f=ukN

f=uk*

So Equation 1 reduces to

Now eliminating mass the mass

we get acceleration

Solvin it we get

a=7.50

genius_generous answered 1 year ago

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