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GATE ME Engineering Mechanics : National Champion Test

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Question 1

Carry-over factor CAB for the beam shown in the figure below is
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\Civil Engg\Civil Engineeing-01-Apr\Civil-Engineering-2006-01-Apr-1_files\image200.png

Question 2

A statically determinate structure

Question 3

A roller of weight W is roller over the wooden block shown n the given figure. The pull required just to cause the said motion is
Description: Description:ISROME2009_files\image105.png

Question 4

The centrifugal tension in belts

Question 5

What is the force in the vertical member CD of the pin-jointed frame shown below?

Question 6

The degree of indeterminacy is specified by:

Question 7

Which one of the following statement is correct for the pin-jointed truss shown in the figure?

Question 8

A force F is acting on s bent bar which is clamped at one end as shown in the figure.

The CORRECT free body diagram is

Question 9

For the truss shown in the figure, the magnitude of the force (in kN) in the member SR is
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2015-P2_files\image063.jpg

Question 10

A frame is subjected to a load P as shown in the figure. The frame has a constant flexural rigidity EI. The effect of axial load is neglected. The deflection at point A due to the applied load P is

Question 11

A uniform circular ring of mass M and radius r is rotating with an angular speed Description: Description:ISROME2009_files\image151.png about n axis passing through its centre and perpendicular to the plane of the ring. Two identical beads, each of mass m, somehow get attached at two diametrically opposite points. The rotational speed of the ring will become

Question 12

A ball of mass 0.1 kg, initially at rest, is dropped from height of 1m. Ball hits the ground and bounces off the ground. Upon impact with the ground, the velocity reduces by 20%. The height (in m) to which the ball will rise is ___________

Question 13

A body of mass 10 kg moving with a velocity of 1 m/s is acted upon by a force of 50 N in the direction of initial velocity for two seconds. The final velocity of the body is

Question 14

The figure shows a pin-jointed plane truss loaded at the point M by hanging a mass of 100 kg. The member LN of the truss is subjected to a load of

Question 15

The acceleration time relationship for a vehicle subjected to non–uniform acceleration is, Where v is the speed in m/s, t is the time is s, are parameters, and v0 is the initial speed in m/s. If the accelerating behaviour of a vehicle, whose drive intends to overtake a slow-moving vehicle ahead, is described as, Considering = 2 m/s2, = 0.05 s–1 and at t = 3s, the distance (in m) travelled by the vehicle in 35 s is _______.

Question 16

For the plane frame with an overhang as shown below, assuming negligible axial deformation, the degree of static indeterminacy d and the degree of kinematic indeterminacy, k are
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\Civil Engg\Civil Engineeing-04-Apr\Civil-Engineering-2004_files\image106.jpg

Question 17

Three rigid buckets, shown as in the figure (1), (2) and (3), are of identical heights and base areas. Further, assume that each of these buckets have negligible mass and are full of water. The weights of water in these buckets are denoted as W1, W2 and W3 respectively. Also, let the force of water on the base of the bucket be denoted as F1, F2 and F3 respectively. The option giving an accurate description of the system physics is

Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\Civil-Engineering-2014_files\image261.jpg

Question 18

A box of weight 100 kN shown in the figure is to be lifted without swinging. If all forces are coplanar, the magnitude and direction (θ) of the force (F) with respect to x–axis should be

Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\Civil-Engineering-2014_files\image124.png

Question 19

An incompressible fluid is flowing at a steady rate in a horizontal pipe. From a section, the pipe divides into two horizontal parallel pipes of diameters d1 and d ­2 (where d1 = 4d ­2) that run for a distance of L each and then again join back to a pipe of the original size. For both the parallel pipes, assume the head loss due to friction only and the Darcy–Weisbach friction factor to be the same. The velocity ratio between the bigger and the smaller branched pipes is _________

Question 20

On a circular curve, the rate of super elevation is e. While negotiating the curve a vehicle comes to a stop. It is seen that the stopped vehicle does not slide inwards (in the radial direction). The coefficient of side friction is f. Which of the following is true :
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