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National Champion Test - GATE 2018 ME : Engineering Mechanics
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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
The ratio of tension on the tight side to that on the slack side in a flat belt drive is:
Question 3
A wheel of radius r rolls without slipping on a horizontal surface shown below. If the velocity of point P is 10 m/s in the horizontal direction, the magnitude of velocity of point Q (in m/s) is _________.
Question 4
The area moment of inertia of a square of size 1 unit about its diagonal is
Question 5
A swimmer can swim 10 km in 2 hours when swimming along the flow of a river, While swimming against the flow. She takes 5 hours for the same distance. Her speed in still water (in km/h) is _______
Question 6
A rigid body shown in the Fig.A. has a mass of 10 kg. It rotates with a uniform angular velocity ‘’. A balancing mass of 20 kg is attached as shown in Fig. B. . The percentage increase in mass moment of inertia as a result of this addition is
Question 7
If point A is in equilibrium under the action of the applied forces, the values of tensions TAB and TAC are respectively.
Question 8
A block of mass M is released from point P on a rough inclined plane with inclination angle θ, shown in the figure below. The co – efficient of friction is μ. If μ < tan θ, then the time taken by the block to reach another point Q on the inclined plane, where PQ = s, is
Question 9
A bike in an equilibrium position having and angle Φ = 30o is having a spring. What will be its stiffness k of spring if free length is l0 = 1 m. Given that Z = 50 N, r = 0.1 m.
Question 10
A truss consists of horizontal members (AC, CD, DB and EF) and vertical members (CE and DE) having length 1 each. The members AE, DE and BF are inclined at 45 ° to the horizontal. For the uniformly distributed load ‘p’ per unit length on the member EF of the truss shown in figure given below, the force in the member CD is
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Feb 4ESE & GATE ME