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GATE ME 2018: Engineering Mechanics Rapid Revision Test

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Question 1

A two-member truss PQR is supporting a load W. The axial forces in members PQ and QR are respectively

Question 2

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

Question 3

Two pieces of steel and brass weighing 20 N and 10 N respectively fall freely under the action of gravity from a tower. For the two pieces which one of the following will be equal after falling an equal distance?

Question 4

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 5

Three masses are connected to a rotating shaft supported on bearings A and B as shown in the figure. The system is in a space where the gravitational effect is absent. Neglect the mass of shaft and rods connecting the masses. For m₁=10kg, m₂=5kg and m₃=2.5 kg and for a shaft angular speed of 1000 radian/s, the magnitude of the bearing reaction (in N) at location B is _____

Question 6

The reading of a spring balance is from 0 to 200 N and is 10 cm long. A body suspended from the spring balance is observed to oscillate vertically at 2 Hz. The mass of the body is nearly

Question 7

A simple structure ABCDE is supported on a hinge at A and on rollers at B while it carries a horizontal force of 1000 KN at E as shown in the figure.The magnitude of force (in KN) in member AC is _____.

Question 8

Two equal forces are acting at a point with an angle of 60 ° between them. If the resultant force is equal to 60√3 , what is the magnitude of each force?

Question 9

A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up to a height d12. Neglecting the subsequent motion and air resistance, its velocity (v) varies with height (h) above the ground as
V²=U²-2gh
so profile will be parabolic

Question 10

A car moving with uniform acceleration covers 450 m in a 5 second interval, and covers 700 m in the next 5 second interval. The acceleration of the car is

Question 11

A mass ‘M’ is suspended from a ceiling through a string of length ‘L’. This mass moves in a circle of horizontal radiud ‘r’ at constant speed such that it is a conical pendulum. The tension in the string will be

Question 12

A three bar truss to resist a service load P = 100 kN is shown in the figure. Use a load factor of 2 and consider all three members to have equal cross-section areas. The yield stress of the material of which the members are fabricated is 400 MPa. The area of cross section of each truss member is

Question 13

If a ball which is dropped from a height of 2.25 m on a smooth floor attains the height of bounce equal to 1.00 m, the coefficient of the restitution between the ball and the floor is equal to:

Question 14

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 15

Locomotive is pulling the wagons with a force F from the front to the right. The force F is transmitted to all the wagons and they move forward. If the wagons are to be pushed from behind, the force required will be

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ESE & GATE ME Engineering Mechanics

Apr 2ESE & GATE ME