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Q.

The angular momentum of a particle about origin is varying as L=4t+8 (SI units) when it moves along a straight line y=x−4 (x,y in meters). The magnitude of force acting on the particle would be :

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a

1 N

b

2 N

c

2 N

d

3 N

answer is C.

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Detailed Solution

τ=dLdt=4 y=x-4If x=0 then y=-4If x=4 then y=0slope =1From figure r⊥=22Hence τ=r⊥F4=22.F ∴F=2N

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The angular momentum of a particle about origin is varying as L=4t+8 (SI units) when it moves along a straight line y=x−4 (x,y in meters). The magnitude of force acting on the particle would be :