A man slides down a light rope whose breaking strength is η times his weight .What should be his maximum acceleration so that the rope does not break ?
g (1 - η)
ηg
g /1+η
g/1 - η
Starting from rest, a body slides down as 450 inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The coefficient of friction between the body and the inclined plane is
0.80
0.75
0.25
0.33
Three forces acting on a body are shown in the figure.
To have the resultant force only along the y-direction, the magnitude of the minimum additional force needed along OX is
0.5 N
1.5 N
An army vehicle of mass 1000 kg is moving with a velocity of 10 m/s and is acted upon by a forward force of 1000 N due to engine and a retarding force of 500 N due to friction.What will be its velocity after 10 sec ?
5 m/s
10 m/s
15 m/s
20 m/s
A passenger in the bus finds that his suit case suddenly starts sliding backwards. This means that the bus is
turning left
turning right
accelerating
retarding
Two trains A and B are running in the same direction on parallel tracks such that A is faster than B.If packets of equal weight are exchanged between the two, then
A will be retarded but B will be accelerated
A will be accelerated but B will be retarded
there will not be any change in the velocity of A but B will be accelerated
there will not be any change in the velocity of B,but A will be accelerated
A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved?
3 m/s
14 m/s
3.92 m/s
A monkey of mass 20 kg is holding a vertical rope. The rope will not break when a mass of 25 kg is suspended from it but will break if the mass exceeds 25 kg. What is the maximum acceleration with which the monkey can climb up along the rope? (g=10 m/s2)
5 m/s2
10 m/s2
25 m/s2
2.5 m/s2
A mass M is placed on a very smooth wedge resting on a surface without friction. Once the mass is released, the acceleration to be given to the wedge so that M remains at rest is a, where
a is applied to the left and a = g tanθ
a is applied to the right and a = g tanθ
a is applied to the left and a = g sinθ
a is applied to the left and a = g cosθ
A heavy uniform chain lies on horizontal table top. If the coefficient of friction between the chain and the table surface is 0.25, then the maximum friction of the length of the chain that can hang over one edge of the table is
20%
25%
35%
15%
