ISRO 2018 Engineering Mechanics Booster Quiz 1

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Question 1

A spherical balloon is filled with helium at sea level. Helium and balloon material together weigh 500 N. If the net upward lift force on the balloon is also 500 N, what the diameter of the balloon?

• A5.42 m
• B6.78 m
• C3.43 m
• D2.34 m

Question 2

An elevator of mass 1000Kg attains an upward velocity of 4m/sec in two seconds with uniform acceleration. The tension (in N) in supporting cable will be (g=9.8m/sec²)

• A1204N
• B9800N
• C2000N
• D11800N

Question 3

A circular disk of radius R rolls without slipping at a velocity V. The magnitude of the velocity at point P shown in the figure is

• A V
• BV
• CV/2
• D V

Question 4

A shell is fired from a cannon with a speed ‘v’ at an angle θ with the horizontal direction as shown in the figure. At the highest point in its path, it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon. The speed of other piece immediately after the explosion is

• A3 v cos θ
• B2 v cos θ
• C3/2 v cos θ
• D v cos θ

Question 5

A particle starts from rest with a constant acceleration m/ sec² and after some time it decelerates at a uniform rate of m/ sec² till it comes to rest. If the total time taken between two rests positions is t, the maximum velocity acquired by the particle would be

• A
• Bt
• Ct
• Dt

Question 6

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

• AmgL/
• BmgL/
• CmgL/
• DmgL/2

Question 7

Two metallic blocks having masses in the ratio 2:3 are made to slide down a friction less inclined plane starting initially from rest position. When these blocks reach the bottom of the inclined plane, they will have their kinetic energies in the ratio

• A2:3
• B3:5
• C3:2
• D7:4

Question 8

A 10 kg mass is hung from 2 light, inextensible strings as shown. The tension in the horizontal string is nearly

• A49 N
• B57 N
• C100 N
• D0 N

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