GATE ME: Engineering Mechanics Champion Quiz 3 for ESE & GATE ME Exams

Question 1

While driving, a driver suddenly find bug splatters on wind screen of car. Which among the following will undergoes greater change is momentum?

Question 2

While comparing truss with frames, which among the following is not correct?

Question 3

A rigid link PQ is undergoing plane motion as shown in the figure (V_Pand V_Qare non=zero). V_PQ is relative velocity of point Q with respect to point P.

Which one of the following is TRUE?

Question 4

Two steel truss members, AC and BC each having cross sectional area of 100mm² are subjected to a horizontal force F as shown in figure All the joints are hinged

If F = 1 kN, the magnitude of the vertical reaction force developed at the point B in kN is

Question 5

Two steel truss members, AC and BC each having cross sectional area of 100mm² are subjected to a horizontal force F as shown in figure All the joints are hinged

The maximum force F in kN that can be applied at C such that the axial stress in any of the truss members DOES NOT exceed 100 MPa is

Question 6

The coefficient of restitution of a perfectly plastic impact is

Question 7

A small ball of mass 1 kg moving with a velocity of 12 m/s undergoes a direct central impact with a stationary ball of mass 2 kg. The impact is perfectly elastic. The speed (in m/s) of 2 kg mass ball after the impact will be________

Question 8

A mobile Phone has a small motor with an eccentric mass used for vibrator mode. The location of the eccentric mass on motor with respect to center of gravity (CG) of the mobile and the rest of the dimensions of the mobile phone are shown. The mobile is kept on a flat horizontal surface.

Given in addition that the eccentric mass = 2 grams, eccentricity = 2.19 mm. mass of the mobile = 90 grams. g = 9.81 m/

Uniform speech of the motor in RPM for which the mobile will get just lifted off the ground at the end Q is approximately

Question 9

A block R of mass 100 kg is placed on a block S of mass 150 kg as shown in the figure. Block R is tied to the wall by a massless and inextensible string PQ. If the coefficient of static friction for all surfaces is 0.4, the minimum force F (in kN) needed to move the block S is

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Question 10

Mass M slides in a frictionless slot in the horizontal direction and the bob of mass m is hinged to mass M at C, through a rigid massless rod. This system is released from rest with θ =30 °. At the instant when θ = 0, the velocities of m and M can be determined using the fact that, for the system (i.e., m and M together),