Afriction is inclined plane makes an angle of 30° with the horizontal find the constant force applied parallel to the plane required to causeif 15 kg box to slide off the plane with an acceleration of 1.2 m/s

The constant force applied parallel to the plane required to cause a 15 kg box to slide off the plane with an acceleration of 1.2 m/s is 55.5 N.

Explanation:

Given:

Mass of the box is,

Acceleration along the plane is,

Angle of inclination of plane is, °

The given inclined plane is friction-less. Let the constant force applied be N.

Now, consider the free body diagram of the box as shown below.

The forces acting along the plane are the constant force, up the plane and down the plane.

The forces acting perpendicular to the plane are the normal force and .

Therefore, net force along the direction of the inclined plane is given as:

Now, as per Newton's second law of motion,

Therefore, the constant force applied parallel to the plane required to cause a 15 kg box to slide off the plane with an acceleration of 1.2 m/s is 55.5 N.

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