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Important Questions on Friction

MEDIUM
A small spherical droplet of density d is floating exactly half immersed in a liquid of density ρ and surface tension T. The radius of the droplet is (take note that the surface tension applies an upward force on the droplet):
EASY
A block A of mass 4 kg is placed on another block B of mass 5 kg, and the block B rests on a smooth horizontal table. If the minimum force that can be applied on A so that both the blocks move together is 12 N, the maximum force that can be applied on B for the blocks to move together will be :
EASY
Which one of the following statement is correct?
HARD
A block of mass 100 kg attached to a massless rope and the second end of the rope is pulled up by 2 men along a rough inclined plane of coefficient of friction 0.2 inclined at 37° with the horizontal. If they exert their maximum force for the block to just start moving up, the force exerted by each of them is, (Acceleration due to gravity =10 m s-2, tan 37°0.75)
EASY
A rectangular film of liquid is extended from (4 cm×2 cm) to (5 cm×4 cm). If the work done is 3×10-4 J, the value of the surface tension of the liquid is
EASY
A wire of length 10 cm is gently placed horizontally on the surface of water having a surface tension of 75×10-3 N m-1. What force is required to just pull up the wire from the water surface?
HARD
In the figure, a ladder of mass m is shown leaning against a wall. It is in static equilibrium making an angle θ with the horizontal floor. The coefficient of friction between the wall and the ladder is μ1 and that between the floor and the ladder is μ2 . The normal reaction of the wall on the ladder is N1 and that of the floor is N2. If the ladder is about to slip, then

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MEDIUM

A block of mass m slides along a floor while a force of magnitude F is applied to it at an angle θ as shown in figure. The coefficient of kinetic friction is μK. Then, the block's acceleration a is given by : (g is acceleration due to gravity)

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MEDIUM
The following observations were taken for determining surface tension T of water by capillary method:

diameter of capillary, D=1.25×10-2 m

rise of water, h=1.45×10-2 m

Using g=9.80 m s-2 and the simplified relation T=rhg2×103 N m-1 the possible error in surface tension is closest to:
EASY
When one end of the capillary is dipped in water, the height of the water column is h. The upward force of 105 dyne due to surface tension is balanced by the force due to the weight of the water column. The inner circumference of the capillary is
(Surface tension of water =7×10-2 N m-1)
HARD
Assume that a drop of a liquid evaporates by a decrease in its surface energy so that its temperature remains unchanged. The minimum radius of the drop for this to be possible is. (The surface tension is T, the density of the liquid is ρ and L is its latent heat of vaporisation.)
EASY
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Given in the figure are two blocks A and B of weight 20 N and 100 N, respectively. These are being pressed against a wall by a force F and kept in equilibrium as shown. If the coefficient of friction between the blocks is 0.1 and between block B and the wall is 0.15, the frictional force applied by the wall on block B is:
EASY
A body of mass 2 kg is kept by pressing to a vertical wall by a force of 100 N. The friction between wall and body is 0.3. Then the frictional force is equal to
MEDIUM
A liquid does not wet the solid surface if angle of contact is:
EASY
A block rests on a rough inclined plane making an angle of 30° with the horizontal. The coefficient of static friction between the block and the plane is 0.8 . If the frictional force on the block is 10 N, the mass of the block is g=10 m s-2
EASY
What causes the free surface of a liquid to have minimum area?
EASY
Water does not wet an oily glass because
HARD
A small box resting on one edge of the table is struck in such a way that it slides off the other edge, 1 m away, after 2 seconds. The coefficient of kinetic friction between the box and the table
MEDIUM
A block A of mass m1 rests on a horizontal table. A light string connected to it passes over a frictionless pulley at the edge of table and from its other end another block B of mass m2 is suspended. The coefficient of kinetic friction between the block and the table is μk. When the block B is sliding on the table, the tension in string is:
MEDIUM
A car is negotiating a curved road of radius R . The road is banked at an angle θ. The coefficient of friction between the tyres of the car and the road is μs. The maximum safe velocity on this road is: