List of top Applied Mechanics and Design Questions on Theory of Machines and Design asked in GATE ME

The rotor of an aeroplane engine has a mass moment of inertia 1.0 kg m\(^2\). The engine rotates at a speed of 500 RPM in the clockwise direction if viewed from the front of the aeroplane. If the aeroplane while flying at 1200 km/hr turns with a radius of 2 km at same elevation, then the magnitude of the gyroscopic moment exerted by the rotor on the aeroplane structure in N m is

Worm gearsets are used for transmitting rotary motion between

A horizontal disk has a radial frictionless slot in which a small block is confined to slide. The disk turns anticlockwise about its centre with a constant angular velocity of 3 rad/s.
If the block slides along the slot with a constant speed of 0.2 m/s relative to the slot, then the magnitude of Coriolis acceleration in \( \text{m/s}^2 \) is

A gear train with five gears is shown in the figure below.

The number of teeth on each gear is \(N_1\), \(N_2\), \(N_3\), \(N_4\), and \(N_5\). The idler gear in this gear train is