A few days ago
soliel021

Can anyone help me with the physics question? There’s no information in the book!?

1. Block m1 has a mass of 4 kg and m2 has a mass of 2 kg. The coefficient of kinetic friction between m2 and the horizontal plane is 0.5. The incline plane is frictionless.

a) Calculate the tension in the cord.

b) Calculate the acceleration of the blocks.

Top 3 Answers
A few days ago
Anonymous

Favorite Answer

Well, I can’t give you an answer without knowing the angle of the inclined plane or which mass is on it. However: make a free-body diagram of both masses. The one on the horizontal plane will be affected by its weight, the normal force of the plane (which will be the same magnitude but opposite in direction), the frictional force (which will be the normal force times the coefficient of friction, if the system is moving) and the tension in the rope. This will not be enough to solve the problem, but it’ll be a start.

The forces acting on the block on the incline will be its weight (straight down, of course), the normal force (normal, i.e. perpendicular, to the plane, and counteracting that component of the weight also normal to the incline) and the tension in the rope. You’ll need to decompose the weight into components parallel to and perpendicular to the plane. The perpendicular component will be cancelled by the normal force. The parallel component will be what actually pulls the whole system.

Now here’s the key: you have two models for friction. One is the static model, with its own coefficient, and the other is the kinetic model. The static model applies if the system isn’t moving, the kinetic model applies if it is. You’ve only been given the kinetic coefficient (which, by the way, is typically less than the static coefficient), which implies that the system will be moving. This is good, because the kinetic model is very simple. Kinetic friction is always the coefficient of friction times the normal force, no matter how fast things are moving. So, figure out the kinetic friction, figure out the force pulling the block on the incline down the plane (the mass of the block on the plane times the component of gravity pulling it parallel to the plane) and subtract them, and you’ll have your net force on the system. You can get the acceleration, then, by taking that net force and dividing by the total mass of the system, i.e. m1 + m2.

As a general rule, always start these problems with a free body diagram.

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A few days ago
A.V.R.
Tension = Friction coeff. x mass

For 4 kg mass it will be 0.5 x 4 = 2 kgs

For 2 kg mass it will be 0.5 x 2 = 1 kg.

For an inclined plane the acceleration = g x sin (theta)

Where theta is the angle made by the plane with the horizontal.

This is independent of the mass. In this case friction is also given as absent.

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A few days ago
mohammad g
to solve this question i think you need to know incline plane angle
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