The GATE Grind

GATE 2025 PI – Question 55

General Engineering · Theory of Machines and Design · 2 marks · Numerical answer

A 200 mm link OA rotates counterclockwise at constant angular velocity 100 rad/s. At the shown position it makes 30° with +X. Find absolute X component of A’s velocity (one decimal m/s).

Diagram for GATE 2025 PI question 55

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: 9.8 to 10.2

Explanation

For $\mathbf v=\boldsymbol\omega\times\mathbf r$, $v_x=-\omega L\sin30^\circ=-100(0.2)(0.5)=-10$ m/s. The requested absolute value is **10.0 m/s**.

More Theory of Machines and Design questions

All Theory of Machines and Design questions →