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GATE ME: Engineering Mechanics Champion Quiz 2

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Question 1

In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the material removal rate

Question 2

For the same material and the mass, which of the following configurations of flywheel will have maximum mass moment of inertia about the axis of rotation OO’ passing through the centre of gravity.

Question 3

From an equilateral triangular plate of side ‘a’, a square plate of maximum size has to be cut. The side of such a square plate is:

Question 4

For the toggle device shown in figure, derive the relationship between forces P and F in terms of the angle θ.
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-EE-ME-19-Mar\GATE-ME-2000_files\image210.jpg

Question 5

For the truss shown in the figure, the forces F1 and F2 are 9 kN and 3 kN, respectively. The force (in kN) in the member QS is

Question 6

A wardrobe (mass 100 kg, height 4 m, width 2 m, depth 1 m), symmetric about the Y-Y axis, stands on a rough level floor as shown in the figure. A force P is applied at mid-height on the wardrobe so as to tip it about point Q without slipping. What are the minimum values of the force (in newton) and the static coefficient of friction µ between the floor and the wardrobe, respectively?

Question 7

A body of mass (M) 10 kg is initially stationary on a 45 ° inclined plane as shown in figure. The coefficient of dynamic friction between the body and the plane is 0.5. The body slides down the plane and attains a velocity of 20 m/s. The distance travelled (in meter) by the body along the plane is

Question 8

A mass m1 of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with a stationary mass m2 of 1000 kg. After the collision, both the masses travel together with the same velocity. The coefficient of restitution is

Question 9

A 1 kg block is resting on a surface with Coefficient of friction μ = 0.1 A force of 0.8 N is applied to the block as shown in the figure. The friction force is
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ME-2011_files\image118.jpg

Question 10

A uniform rigid rod of mass M and length L is hinged at one end as shown in the adjacent figure. A force P is applied at a distance of 2L/3 from the hinge so that the rod swings to the right. The reaction at the hinge is
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Jun 19ESE & GATE ME