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GATE 2019: Engineering Mechanics Super Quiz

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Question 1

The value of tensions T1 and T2 in the string are respectively,
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Question 2

A nail of mass 0.015 kg is driven into a fixed wooden block, Its initial speed is 25 m/s and it is brought to rest in 6 milliseconds. find the value of the force

Question 3

Four solid spheres each of diameter

cm and mass 0.5 kg are placed with their centers at the corners of a square of side 4 cm. The moment of inertia of the system about the diagonals of the square is

then N is

Question 4

The given structure is designed to be used for construction of heavy duty crane arm. The following truss is:

Question 5

A framed structure of 7 m span and 2.5 m height subjected to two point loads at B and D as shown in fig.

Find the reactions at A and C.

Question 6

The resultant of two vectors when acting at right angles is 10kN. If they act at 60° their resultant is

kN. Find the magnitude of individual vectors (in kN)___________.

Question 7

A particle of mass 1 kg moves in a straight line under the influence of a force which increases linearly with time at the rate of 60 N per second. At time t = 0, initial force may be taken as 50 N. Velocity of particle 4 sec after it started from rest at origin is __________ m/s.

Question 8

A body of mass (M) 10 kg is initially stationary on a 45 ° inclined plane as shown in figure. The coefficient of dynamic friction between the body and the plane is 0.5. The body slides down the plane and attains a velocity of 20 m/s. The distance travelled (in meter) by the body along the plane is

Question 9

Find the value of tension acting on the cable as shown in the fig. coefficient of friction for all the cases is 0.2. Weight of block A and block B is 4 kN and 6 kN.

Question 10

A bullet after firing from a gun goes through a plank of thickness h and changes its velocity from u to v. The resisting force is proportional to square of velocity. The time of motion of the bullet in the plank is proportional to

Question 11

For the system in equilibrium as shown, the value of

is?

Question 12

A mass m is supported by a massless string wound around a hollow cylinder of mass m and radius R. If string does not slip on the cylinder, with what acceleration will the mass fall on release?

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ESE & GATE ME Engineering Mechanics

Apr 30ESE & GATE ME