4.- A 20 N steel sphere rests without friction, in a system formed by a plane inclined at 30 ° with the horizontal to the left and another inclined plane at 60 ° to the right, as shown in the figure. Determine the force exerted by each plane on the sphere. R: N = 17.32 N plane of 30 ° and N = 10 N plane of 60 °. 30° 60°

Glencoe Physics: Principles and Problems, Student Edition
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Chapter5: Displacement And Force In Two Dimensions
Section: Chapter Questions
Problem 82A
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4.- A 20 N steel sphere rests without friction, in a system formed by a plane inclined at 30 ° with the
horizontal to the left and another inclined plane at 60 ° to the right, as shown in the figure. Determine
the force exerted by each plane on the sphere. R: N = 17.32 N plane of 30 ° and N = 10 N plane of 60 °.
30°
60°
Transcribed Image Text:4.- A 20 N steel sphere rests without friction, in a system formed by a plane inclined at 30 ° with the horizontal to the left and another inclined plane at 60 ° to the right, as shown in the figure. Determine the force exerted by each plane on the sphere. R: N = 17.32 N plane of 30 ° and N = 10 N plane of 60 °. 30° 60°
Expert Solution
Step 1

Let the two inclined planes be A and B. Let the normal force exerted by plane A be NA and by plane B be NB as shown.

Physics homework question answer, step 1, image 1

Step 2

The free body diagram for the sphere is as shown.

Physics homework question answer, step 2, image 1

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