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A wedge is placed on a smooth horizontal surface. Wedge contains a circular quadrant of radius 25 cm as shown. An insect crawls on the circular part with a constant speed 0.5 m/s. A force F is applied on the wedge, so that it does not move. Find the value of F in newton when radial line of position of insect makes an angle 60o with horizontal.

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Detailed Solution

Equations for the insectf=10N …..(1)N−103=2×1221/4N=103+2 ……….(2)Equation for the wedgeF+f sin⁡60∘=Ncos⁡60∘⇒ F=1N

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A wedge is placed on a smooth horizontal surface. Wedge contains a circular quadrant of radius 25 cm as shown. An insect crawls on the circular part with a constant speed 0.5 m/s. A force F is applied on the wedge, so that it does not move. Find the value of F in newton when radial line of position of insect makes an angle 60o with horizontal.