Atorsion pendulum consists of an irregularly-shaped object of mass 29.0 kg suspended vertically by a wire of torson constant 1.14 nm through its center of mass. if this pendulum oscillates through 98 cycles in 74.0 s, find the rotational inertia of the object.

Explanation:

Given that,

Mass of the object, m = 29 kg

Torsion constant of the wire, K = 1.14 N-m

Number of cycles, n = 98

Time, t = 74 s

To find,

The rotational inertia of the object.

Solution,

Relationship between the moment of inertia, time period and the torsion constant of the spring is given by :

Where I is the moment of inertia

K is spring constant

Let T Is the time period of oscillation, such that,

So, the rotational inertia of the object is .

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