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GATE 2020 : Theory of Machines Rapid mini mock (App update required to attempt this test)

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Question 1

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 2

A Spring whose upper end is fixed and a mass of 10 kg is attached to the lower end, vibrates with a period of 3.14 second. Find the period if a mass of 5 kg is attached to the center of same spring with both end fixed.

Question 3

The maximum primary force in kN in a three cylinder radial engine with axis 120 degrees to one another ,stroke length 100mm ,speed 2000 rpm and the reciprocating mass per cylinder is 2 kg is________.

Question 4

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 5

The figure shows a slider moving inwards on a rod with a velocity of 5 m/s when its distance from point O is 1 m. At this instant, velocity of slider is increasing at the rate of 10 m/s2. Rod has an angular velocity of 5 rad/s counter clockwise. The angle which the resultant absolute acceleration of slider makes with the line OR is

Question 6

The figure below shows a cantilever beam subjected to a load W at its free end. The natural frequency of free vibrations ( in rad/s) due to the load acting on it is :

Question 7

Two dampers are connected in parallel and placed between the moving parts of a machine which have a maximum relative velocity of 2 m/s. The damping coefficient of the dampers are 7 and 14 N-s/m. The maximum damping force exerted by the combination is :

Question 8

Each of the two gears in a mesh has 48 teeth and a module of 8 mm. The teeth are of 20 ° involute profile. The arc of contact is 2.25 times the circular pitch. What will be the addendum in mm?

Question 9

A punch press, fitted with a flywheel having a radius of gyration of 0.53 m, runs at 260 rev/min. the press is capable of punching 600 holes per hour. Each punching operation takes 1.5 seconds. The rating of the electric motor used is 2 kW. Determine the mass of the flywheel, if the speed of the flywheel should not drop below 240 rev/min.

Question 10

In a crank and slotted lever mechanism, the length between the fixed centres O₁O₂ is 10 cm and the crank length =5 cm. O₁C=20 cm. If the quick return ratio of the mechanism is A and the length of stroke is B. Find B/A (in cm) ________.

Question 11

In the figureshown, the input M has a 48 teeth,B and D constitute a compound planet having 60 and 36 teeth repectivly.
If all the gears are of same pitch, find the ratio of speeds of gear M to gear L, assuming N to be fixed.
$Description: Description: 01_Tom-vibration_BLok_files\image051.png$

Question 12

A spring of stiffness 2 N/mm is cut into three parts in the ratio of 1 : 2 : 3 The stiffness of the second spring after cutting is

N/mm. (correct to two decimal place)

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ESE & GATE ME Theory of Machines & Vibrations

Apr 29ESE & GATE ME