GATE Questions & Answers of Dynamic Analysis of Linkages

A slider crank mechanism is shown in the figure. At some instant, the crank angle is $ 45^\circ $ and a force of 40 N is acting towards the left on the slider. The length of the crank is 30 mm and the connecting rod is 70 mm. Ignoring the effect of gravity, friction and inertial forces, the magnitude of the crankshaft torque (in Nm) needed to keep the mechanism in equilibrium is _________ (correct to two decimal places).

The forces $F_1$ and $F_2$ in a brake band and the direction of rotation of the drum are as shown in the figure. The coefficient of friction is 0.25. The angle of wrap is $ 3\mathrm\pi/2 $ radians. It is given that $ R=1 $ m and $ F_2=1\;N $. The torque (in N-m) exerted on the drum is _________

For the brake shown in the figure, which one of the following is TRUE?

•  (A)  Self energizing for clockwise rotation of the drum
•  (B)  Self energizing for anti-clockwise rotation of the drum
•  (C)  Self energizing for rotation in either direction of the drum
•  (D)  Not of the self energizing type

A slider crank mechanism has slider mass of 10 kg, stroke of 0.2 m and rotates with a uniform angular velocity of 10 rad/s. The primary inertia forces of the slider are partially balanced by a revolving mass of 6 kg at the crank, placed at a distance equal to crank radius. Neglect the mass of connecting rod and crank. When the crank angle (with respect to slider axis) is 30°, the unbalanced force (in newton) normal to the slider axis is _______