GATE Prev Year : Theory of Machines Test-6

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Question 1

Mobility of a statically indeterminate structure is

• A≤ −1
• B0
• C1
• D≥ 2

Question 2

Which is correct in case of flywheel?

• AIt is an inertial energy-storage device.
• BIt absorbs mechanical energy and serves as reservoir.
• CIt smoothen out variations in speed of shaft caused by torque fluctuations.
• DAll of these

Question 3

A compacting machine shown in the figure below is used to create a desired thrust force by using a rack and pinion arrangement. The input gear is mounted on the motor shaft. The gears have involutes teeth of 2 mm module.

If the drive efficiency is 80%, the torque required on the input shaft to create 1000 N output thrust is

• A20 Nm
• B25 Nm
• C32 Nm
• D50 Nm

Question 4

A compacting machine shown in the figure below is used to create a desired thrust force by using a rack and pinion arrangement. The input gear is mounted on the motor shaft. The gears have involutes teeth of 2 mm module.

If the pressure angle of the rack is 20o, the force acting along the line of action between the rack and the gear teeth is

• A250 N
• B342 N
• C532 N
• D600 N

Question 5

It is desired to avoid interference in a pair of spur gears having a 20 ° pressure angle. With increase in pinion to gear speed ratio, the minimum number of teeth on the pinion

• Aincreases
• Bdecreases
• Cfirst increases and then decreases
• Dremains unchanged

Question 6

A leaf is caught in a whirlpool. At a given instant, the leaf is at a distance of 120 m from the center of the whirlpool. The whirlpool can be described by the following velocity distribution: and where r (in meters) is the distance from the center of the whirlpool. What will be the distance of the leaf from the center when it has moved through half a revolution?

• A48 m
• B64 m
• C120 m
• D142 m

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