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A block of mass 3 kg is at rest on a rough inclined plane as shown in the figure. The magnitude of net force exerted by the surface on the block will be (g=10 m/S subscript equals end subscript superscript 2 end superscript )

  1. 26 N    
  2. 19.5 N    
  3. 10 N    
  4. 30 N    

The correct answer is: 30 N

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In the shown situation, which of the following is/are possible ?

If F1 ¹ F2 , then system will move with acceleration so spring force ¹0
If F1 = 40 N & F2 = 60 N then a equals fraction numerator F subscript 2 end subscript minus F subscript 1 end subscript over denominator m subscript 1 end subscript plus m subscript 2 end subscript end fraction equals fraction numerator 20 over denominator 100 end fraction equals fraction numerator 1 over denominator 5 end fraction m divided by s to the power of 2 end exponentand spring force F1 + m1 a = 40 plus fraction numerator 1 over denominator 5 end fraction (60) = 52 N
If F1 = 60 N & F2 = 40 N then spring force = 52 N

In the shown situation, which of the following is/are possible ?

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If F1 ¹ F2 , then system will move with acceleration so spring force ¹0
If F1 = 40 N & F2 = 60 N then a equals fraction numerator F subscript 2 end subscript minus F subscript 1 end subscript over denominator m subscript 1 end subscript plus m subscript 2 end subscript end fraction equals fraction numerator 20 over denominator 100 end fraction equals fraction numerator 1 over denominator 5 end fraction m divided by s to the power of 2 end exponentand spring force F1 + m1 a = 40 plus fraction numerator 1 over denominator 5 end fraction (60) = 52 N
If F1 = 60 N & F2 = 40 N then spring force = 52 N
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A block of mass m = 2 kg is resting on a rough inclined plane of inclination 300 as shown in figure. The coefficient of friction between the block and the plane is µ = 0.5. What minimum force F should be applied perpendicular to the plane on the block, so that block does not slip on the plane (g=10m/s to the power of 2 end exponent )

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