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Grade: 12
        
a block of mass m is placed against the vertical surface by a spring of unstretched length l if the coefficient of friction between the block and the surface is u then choose the correct statement
  1. if spring constant k= 2mg/ud block will not be in equilibrium
  2. minimum spring constant k min to keep block of mass m in equilibrium is mg/ud
  3. if spring constant is k= 2mg/ud the normal reaction is mg/u
  4. in part c force of friction is mg/u
3 months ago

Answers : (1)

Kaushal Negi
31 Points
							
The reaction force on the block will be equal to the force exerted by the spring.
The spring is compressed by an amount -d as without compression the spring won’t be able to support the block.
The compressed length will be taken in negative.
R = -k(-d) = kd
The force of friction will balance the weight of the block.
So
uR = mg
R = mg/u
And
kd = mg/u
k = mg/ud
Hence b statement is right
minimum spring constant k min to keep block of mass m in equilibrium is mg/ud
Hit like
2 months ago
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