37) A force of 150 acts on the end of the 900mm about O is
1) 46.2 N , anticlockwise
2) 5.62 N, clock wise
3) 46.2 N clock wise
4) 256 N anticlockwise
Ans: 46.2 N anticlockwise
38) An 80 kg block rests on a horizontal plane. A force P of magnitude 535 N gives the block an acceleration of 2.5 m/s^2, to the right. If the coefficient of kinetic friction between the block and the plane is µk = 0.25, the normal reaction on the block is
1) 600 N
2) 615 N
3) 660 N
4) 800 N
Ans: 800 N
39) Moment of inertia of a rectangle of the width 5 cm and height 10 cm about an axis passing through its base is
1) 215 cm^4
2) 512 cm^4
3) 766 cm^4
4) 1667 cm^4
Ans: 1667 cm^4
40) The bob of a 2m pendulum describes an arc of a circle in a vertical pane. If the tension in the cord is 2.5 times the weight of the bob the tangential acceleration at is
1) 4.90 m/sec^2
2) 16m/sec^2
3) 2.5 m/sec^2
4) 2 m/sec^2
Ans: 4.90 m/sec^2
41)
If Δ = 3 -7 -4 1 -1 2 -3 8 8 7 -8 3
6 -3 -10 then -2 4 -5
is
1) Δ/2
2) –Δ/4
3) –Δ/6
4) Δ/8
Ans: -Δ/6
42) The value of [a + b+ c a a+ b ]
1) 3[ a b c]
2) 2[ a b c]
3) [a b c]
4) [ a b c ]^2
Ans: [a b c]
43) If St= 1 + 4t^2 is the equation of motion of a particle, its acceleration when velocity vanishes is
1) 0 units
2) 8 units
3) +1 unit
4) – 16 unit
Ans: 8 units
44) If there are two children in a family then the probability that there is atleast one girl in the family
1) ¼
2) 2/4
3) ¾
4) 7/8
Ans: ¾
45) If A, B, and C are points on the same straight line and the slope of the segment AB is 2/3, then the slope of the segment BC is
1) 3/2
2) 4/9
3)3/4
4) 2/3
Ans: 4/9
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