National Champion Quiz-Theory of Machine (App update required to attempt this test)

The degree of freedom of the given mechanism is __________

In a four bar planar mechanism shown in the figure, AB = 5 cm, AD = 4 cm and DC = 2 cm. In the configuration shown, both AB and DC are perpendicular to AD. The bar AB rotates with an angular velocity of 10 rad/s. The magnitude of angular velocity (in rad/s) of bar DC at this instant is

When an engine, having crank & connecting rod of lengths, 225mm & 950mm respectively, is running at 625 rpm, the maximum magnitude of the primary forces is observed to be 625N. The magnitude of maximum secondary forces would be (in N):

The turbine rotor of a ship has a mass of 2000kg and it rotates at 1200rpm clockwise when viewed from the aft. The radius of gyration of the rotor is 300mm. Gyroscopic couple if the ship turns right at a radius of 240m with a speed of 30kmph is

Two masses A and B having mass m_a and m_b, respectively, lying in the plane of the figure shown, are rigidly attached to a shaft which revolves about an axis through O perpendicular to the figure. The radii of rotation of the masses m_a and m_b are r_a and r_b, respectively. The angle between lines OA and OB is 90^o. If m_a = 10 kg, m_b = 20 kg, r_a = 200 mm and r_b = 400 mm, then the balance mass to be placed at a radius of 200 mm is _________ kg (round off to two decimal places).

Calculate the frequency of the system?

A body of 5kg supported on a spring. If the ratio of damping constant and critical damping constant is 3.26. Find the ratio of initial amplitude to amplitude after 6cycles.

The figure below shows an epicyclic arrangement of gear trains.

If the gear A makes 2 revolution clockwise and the gear D is stationary, then the arm to which the pinions B and C are attached makes how many revolutions?

Take the number of teeth on gears A and D as 40 and 90 respectively.

Find the addendum of two equal involute spur gear in mesh with following specifications : pressure angle = 20^o, Module = 5 mm, number of teeth = 40, Arc of conatct = 1.5 * circular pitch.

A Porter governor having equal arms of length 200 mm are pivoted to the axis of rotation. The mass of each ball is 3 kg and the mass on the sleeve is 15 kg. If the friction at the sleeve is equivalent to a force of 10 N, the coefficient of insensitiveness of the governor is _______

A flywheel of mass 2000 kg and radius of gyration 1.5 m. If the maximum fluctuation in energy and mean speed of flywheel are 100 kN-m and 200 rpm, then maximun speed of flywheel is equal to,