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5 partsStep-by-step solution
5 stepsHere are the calculations for each part of the problem:
Given:
Mass of body P,
Mass of body Q,
Coefficient of friction,
Acceleration due to gravity,
Part i· 1 step
Normal reaction on P
Calculate the normal reaction force on body P.
The normal reaction force on body P is equal to its weight, as it rests on a horizontal surface.
Substitute the given values:
Part ii
Frictional force between P and the surface
Calculate the frictional force.
The frictional force is given by the product of the coefficient of friction and the normal reaction force.
Substitute the values:
Part v
Common acceleration of P and Q
Calculate the common acceleration of the system.
The net force causing acceleration is the weight of Q minus the frictional force on P. The total mass of the system is .
Substitute the values:
Part iii
Tension in the string
Calculate the tension in the string.
Consider the forces acting on body Q. The weight of Q acts downwards, and the tension acts upwards. The net force causes Q to accelerate downwards.
Rearrange the equation to solve for :
Substitute the values:
Part iv
Force which causes P and Q to accelerate
Calculate the net force causing acceleration.
This is the net force on the entire system, which is the product of the total mass and the common acceleration.
Substitute the values:
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