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GATE 2019: Engineering Mechanics Rapid Quiz-3

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Question 1

Two forces can be in equilibrium only if they are

(i) equal in magnitude

(ii) opposite in direction

(iii) collinear in action

Question 2

In a forest logs were to be carried from one side to the other side of the river bank. If the velocity of the logs being pulled is 14 m/s, and the river flows at velocity of 8 m/s. what would be the resultant velocity of the logs?

Question 3

A valve of pipeline was to be opened, the valve stock was connected with a horizontal rod. For which two men were required to pull the ends of the rod in opposite direction. When looking from the top, the person on the upper side pulls it towards the left. It will cause a ;

Question 4

Considering a truss, with the structure having 5 members and 3 joints hinged at the base.

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

A small block oscillates back and forth on a extremely smooth concave surface of radius 10 cm. The time period of small oscillations will be
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Question 7

An angular acceleration where is in seconds is imparted to disc A by a motor. If initially the disc has an angular velocity of the velocity of block B at the time instant seconds will be ?

41opp.jpg

Question 8

A body moves with a speed of 10 m/s in the curved path of 25 m radius of curvature. If the tangential acceleration is 3 m/s2, then total acceleration for the body will be:

Question 9

A uniform disc of mass 1.5 kg and radius 0.5 m is initially at rest on a horizontal frictionless surface. Three forces of equal magnitude F = 0.5 N are applied simultaneously along the three sides of an equilateral triangle XYZ with its vertices on the perimeter of the disc. The angular speed of the disc in rad s–1 after 1s of application of forces will be:

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Question 10

Consider an elliptical shaped rail PQ in the vertical plane as shown. A block of mass 1 kg is pulled along the rail from P to Q with a force of 18 N which is always parallel to line PQ. The kinetic energy of the block in Joules, when it reaches Q will be
[Assume no friction and g = 10 m/s2]
26.jpg

Question 11

The force in member AB is

Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\10-RAC-Engg-Mechanics_BLok1_files\image041.jpg

Question 12

A pinion with radius r1, and inertia I1 is driving a gear with radius r2 and inertia I2. Torque is applied on pinion. The following are free body diagrams of pinion and gear showing important forces (F1 and F2) of interaction. Which of the following relations hold true?
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Apr 27ESE & GATE ME