An inclined plane has angle theta with respect to the vertical.A. Find an expression for the components in the direction of the plane.B. Find an expression for the component of gravity in the direction perpendicular to the plane.C. Sketch figures which illustrate parts a and b above; highlight and label the results.

Question
Asked Nov 24, 2019
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An inclined plane has angle theta with respect to the vertical.

A. Find an expression for the components in the direction of the plane.

B. Find an expression for the component of gravity in the direction perpendicular to the plane.

C. Sketch figures which illustrate parts a and b above; highlight and label the results.

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Expert Answer

Step 1

Given:

Inclination of an inclined plane =  from the vertical

Step 2

(a) Calculating the component of acceleration due to gravity in the direction of the plane:

The direction of the acceleration due to gravity is also in the vertical direction. As the plane is inclined at an angle theta with the vertical, hence the angle between the acceleration due to gravity and inclined plane is also theta.

So, the component of the acceleration due to gravity in the direction of the inclined plane would be "gcosθ"

Step 3

(b) Calculating the component of the acceleration due to the gravity in the direction perpendicular to the direction of the plane:

The direction of the acceleration due to gravity is also in the vertical direction. As the plane is inclined at an angle theta with th...

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