There are three forces F1, F2 and F3 acting on a body, all acting on a point P on the body. The body is found to move with uniform speed.

(a) Show that the forces are coplanar.

(b) Show that the torque acting on the body about any point due to these three forces is zero.

This is a Long Answer type Questions as classified in NCERT Exemplar

Explanation – as body moving with uniform acceleration a=0

The sum of forces is zero F₁+F₂+F₃=0

a)let F₁, F₂, F₃ be the three forces passing through the point . let F₁and F₂ be in the plane A

so F₃ =- (F₁+F₂) so F₃ is also in plane A.

b)consider the torque of the forces about P . since all the forces pass through P the torque is zero

torque = OP (F₁+F₂+F₃)

since F₁+F₂+F₃=0 so torque =0

<p>This is a Long Answer type Questions as classified in NCERT Exemplar</p><p><strong>Explanation –&nbsp;</strong>as body moving with uniform acceleration a=0</p><p>The sum of forces is zero F₁+F₂+F₃=0</p><div><div><picture><img src="https://images.shiksha.com/mediadata/images/articles/1745402984phpXcLLtK.jpeg" alt="" width="608" height="342"></picture></div><div><p>a)let F₁, F₂, F₃be the three forces passing through the point . let F₁and F₂ be in the plane A</p><p>so F₃ =- (F₁+F₂) so F₃ is also in plane A.</p><p>b)consider the torque of the forces about P . since all the forces pass through P the torque is zero</p><p>torque = OP (F₁+F₂+F₃)</p><p>since F₁+F₂+F₃=0 so torque =0</p></div></div>

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