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An L-shaped rigid body ABC consists of two identical uniform slender rods, each of mass  40 kg   and...

An L-shaped rigid body ABC consists of two identical uniform slender rods, each of mass  40 kg   and of length,  L= 1.6 m  welded together. The rigid body is pinned at its vertex  B as shown, with the end  C attached to a spring with a spring constant,  6 N/cm .

PART A - Determine the natural cycle frequency of the system.

PART B - If during the oscillatory motion the end  A is observed to move with a speed of 0.12 m/s   when  AB is vertical, what is the maximum (linear) displacement of  A (from the vertical)?

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Answer #1

The FBD is as follows: L. The moment of inertia of rods in term of mass are as follows: mass of rod 40×1.62 143 R 68.266 kg.mLet r be the maximum displacement then, using energy conservation maximum kinetic energy-maximum spring energy max 68,266 0.1

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