+3 votes
in JEE by kratos

Determine the ** of small oscillations of a mathematical pendulum, that is a ball suspended by a thread l = 20cm in length, if it is located in a liquid whose density is η = 3.0 times less than that of the ball. The resistance of the liquid is to be neglected.

1 Answer

+5 votes
by kratos
 
Best answer

Let us depict the forces acting on the oscillating ball at an arbitraty angular position θ (fig.) relative to equilibrium position where FB is the force of buoyancy. for the ball from the equation:

NZ = IβZ,(where we taken the positive sense of Z axis in the direction of angular velocity i.e θ of the ball and passes through the point of suspension of the pendulum o), we get:

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