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As shown in the figure , a block of mass 3 kg is kept on a horizontal rough surface of coefficient of friction 133 . The critical force to be applied on the vertical surface as shown at an angle 60° with horizontal such that it does not move, will be 3x . The value of x will be ________.g=10m/s2; sin60°=32; cos60°=12

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answer is 3.33.

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Detailed Solution

In vertical direction, N−mg−Fsin⁡60∘=0⇒N=mg+32FandFcos60°=fNo slip condition , f≤μN⇒F2≤μmg+32F⇒F2≤133103+32F⇒33F≤203+3F⇒23F≤203⇒F≤10N⇒3x≤10⇒x=103=3.33
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As shown in the figure , a block of mass 3 kg is kept on a horizontal rough surface of coefficient of friction 133 . The critical force to be applied on the vertical surface as shown at an angle 60° with horizontal such that it does not move, will be 3x . The value of x will be ________.g=10m/s2; sin60°=32; cos60°=12