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GATE 2019: Theory of Machines Rapid Quiz-1 (App update required to attempt this test)

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Question 1

For a crank and slotted lever mechanism the length of the slotted bar is 750 mm and the length of the fixed link is 250 mm while the radius of the crank is 100mm. The quick return ratio of the mechanism is 1.7 and there is no slip of the ram while it is following translation. Find the stroke length in mm

Question 2

For a mechanism having 6 links and 7 joints the number instantaneous centre is ( IC is a point at which a particular link is assumed to be a rotational motion about that point)

Question 3

For the mechanism shown below Find the ratio of angular velocities of the link 2 and link 4 ___________.

Question 4

For speed of 200 smallest gear box is obtained by using

Question 5

An epicyclic gear train is shown in the figure below. The number of teeths on A and B are 80 and 200. The speed of arm a if A rotates at 100 rpm clockwise and B is stationary, will be

Question 6

For an inline slider-crank mechanism, the lengths of the crank and connecting rod are 3m and 4m, respectively. At the instant when the connecting rod is perpendicular to the crank, if the velocity of the slider is 1m/s, the magnitude of angular velocity (upto 3 decimal points accuracy) of the crank is _________ radian/s.

Question 7

For which of the following values of ω, damper should not be used, where ω has its usual meaning. The motor has a mass of 10 kg and is mounted on a spring of stiffness 6.25 kN/m?

Question 8

A weighing machine consists of 2 kg pan resting on a spring. At this condition, the length of spring is 200 mm. When a 20 kg mass is placed on the pan, the length of spring becomes 100 mm. The undeformed length L in mm and spring stiffness k in N/m are

Question 9

A rigid link PQ is 2m long and oriented at 20⁰ to the horizontal as shown in the figure. The magnitude and direction of velocity V_Q, and the direction of velocity V_P are given. The magnitude of V_P in (m/s) at this instant is.

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Question 10

The equation of motion for a spring-mass system excited by a harmonic force is

Where M is the mass, K is the spring stiffness, F is the force amplitude and ω is the angular frequency of excitation. Resonance occurs when ɷ is equal to.

Question 11

For SHM motion of cam & follower, the maximum velocity of the follower is, where , h= rise of follower,

= angle turned by crank, ф= crank rotation for maximum follower displacement.

Question 12

The rod AB, of length 1 m, shown in the figure is connected to two sliders at each end through pins. The sliders can slide along QP and QR. If the velocity VA of the slider at A is 2 m/s, the velocity of the midpoint of the rod at this instant is ________m/s.

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ESE & GATE ME Theory of Machines & Vibrations

Jul 19ESE & GATE ME