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GATE ME 2018: Theory of Machines Rapid Revision Test

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Question 1

For the given epicyclic gear train if the Gear B is fixed and arm C makes 10 revolutions, the number of revolutions made by gear A will be ___. Teeth on gear A and B are 25 and 100 respectively.

Question 2

If s is the stroke of follower, θ_o and θ_r being angular displacement of cam during outstroke and return stroke and ω is angular velocity of cam, then acceleration of the follower during return stroke will be:

Question 3

In the figure shown below, if the speed of the input shaft of the spur gear train is 2400 rpm and the speed of the output shaft is 100 rpm, what is the module of the gear 4?

Question 4

Which among the following is not a rotating cam-translating follower?

Question 5

consider the following statements:
Transmissibility of vibrations:
1) Is more than, 1, when

.
2) Is less than 1, when

.
3) Increases as the damping is increased
Which of the above statements is/are correct?

Question 6

In a Hartnell governor, the mass of each ball is 4 kg. The maximum and minimum centrifugal forces on the balls are 1800 N and 100 N at radii 25 cm and 20 cm, respectively. The lengths of vertical and horizontal arms of the bell-crank levers are the same. What is the spring stiffness?

Question 7

The figure above shown the schematic of an automobile having a mass of 900 kg and the suspension spring constant of N/m. If it travels at a speed of 72 km/hr on a rough rod with periodic waviness as shown, what is the forcing frequency of the road on the wheel?

Question 8

For the compound gear train as shown in figure, B and C constitute a compound gear.The number of teeth are shown along with each wheel. Arm revolves at 210 rpm clockwise and gear D is fixed.Speed and direction of E will be
$Description: Description: 01_Tom-vibration_BLok_files\image068.png$

Question 9

In an experiment to find the velocity and acceleration of a particular cam rotating at 10 rad/s, the values of displacements and velocities are recorded. The slope of displacement curve at an angle of ‘θ’ is 1.5 m/s and the slope of velocity curve at the same angle is –0.5 m/s². The velocity and acceleration of the cam at the instant are respectively.

Question 10

The Whitworth quick return motion mechanism has the driving crank 150 mm long. The distance between fixed centers is 100 mm. The line of stroke of the ram passes through the centre of rotation of the slotted lever whose free end is connected to the ram by a connecting link. The ratio of time of cutting stroke to that of time of return stroke is __________.

Question 11

In a simple quick return mechanism, the quick return ratio is to 2:1. The radius of crank is 125 mm. Find the distance between the points where the crank and lever are pivoted.

Question 12

For a machine, the turning moment Vs crank angle graph for a cycle is shown below. If the power of the motor is 4.614 kW, the mean speed of the motor is ____ rpm.

Question 13

A Quick return mechanism is shown below.The value of $Description: Description: 01_Tom-vibration_BLok_files\image094.png$ will be _________ (in degrees) stroke=60 cm
Length of slotted lever = 50 cm
$Description: Description: 01_Tom-vibration_BLok_files\image095.png$

Question 14

A uniform stiff rod of length 300 mm and having a weight of 300 N is pivoted at one end and connected to a spring at the other end. For keeping the rod vertical in a stable position the minimum value of spring constant K needed is
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Question 15

An epicyclic gear train is shown schematically in the adjacent figure.
The sun gear 2 on the input shaft is a 20 teeth external gear. The planet gear 3 is a 40 teeth external gear. The ring gear 5 is a 100 teeth internal gear. The ring gear 5 is fixed and the gear 2 is rotating at 60 rpm ccw (ccw = counter-clockwise and cw = clockwise).
The arm 4 attached to the output shaft will rotate at

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ESE & GATE ME Theory of Machines & Vibrations

Aug 10ESE & GATE ME