A pendulum of mass m hangs from a support fixed to a trolley. The direction of the string when the trolley rolls up a plane of inclination with acceleration a0 is
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In the situation shown in figure all the string are light and inextensible and pullies are light. There is no friction at any surface and all block are of cuboidal shape. A horizontal force of magnitude F is applied to right most free end of string in both cases of figure 1 and figure 2 as shown. At the instant shown, the tension in all strings are non zero. Let the magnitude of acceleration of large blocks (of mass M) in figure 1 and figure 2 are and
respectively. Then:
In the situation shown in figure all the string are light and inextensible and pullies are light. There is no friction at any surface and all block are of cuboidal shape. A horizontal force of magnitude F is applied to right most free end of string in both cases of figure 1 and figure 2 as shown. At the instant shown, the tension in all strings are non zero. Let the magnitude of acceleration of large blocks (of mass M) in figure 1 and figure 2 are and
respectively. Then:
A plank is held at an angle to the horizontal (Fig.) on two fixed supports A and B. The plank can slide against the supports (without friction) because of its weight Mg. Acceleration and direction in which a man of mass m should move so that the plank does not move.
A plank is held at an angle to the horizontal (Fig.) on two fixed supports A and B. The plank can slide against the supports (without friction) because of its weight Mg. Acceleration and direction in which a man of mass m should move so that the plank does not move.
A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading is-
A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading is-
A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring reads 49 N, when the lift is stationary. If the lift moves downward with an acceleration of
, the reading of the spring balance will be-
A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring reads 49 N, when the lift is stationary. If the lift moves downward with an acceleration of
, the reading of the spring balance will be-
A block of mass m1 lies on top of fixed wedge as shown in figure-1 and another block of mass m2 lies on top of wedge which is free to move as shown in figure-2. At time t = 0, both the blocks are released from rest from a vertical height h above the respective horizontal surface on which the wedge is placed as shown. There is no frcition between block and wedge in both the figures. Let T1 and T2 be the time taken by block in figure-1 and block in figure-2 respectively to just reach the horizontal surface, then :
A block of mass m1 lies on top of fixed wedge as shown in figure-1 and another block of mass m2 lies on top of wedge which is free to move as shown in figure-2. At time t = 0, both the blocks are released from rest from a vertical height h above the respective horizontal surface on which the wedge is placed as shown. There is no frcition between block and wedge in both the figures. Let T1 and T2 be the time taken by block in figure-1 and block in figure-2 respectively to just reach the horizontal surface, then :
System is shown in the figure. Assume that cylinder remains in contact with the two wedges. The velocity of cylinder is –
System is shown in the figure. Assume that cylinder remains in contact with the two wedges. The velocity of cylinder is –
Let
, then which of the following is true?
Let
, then which of the following is true?
For all twice differentiable functios
, with 
For all twice differentiable functios
, with 
The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle should be :–
The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle should be :–
A potential divider is used to give outputs of 2V and 3V from a 5V source, as shown in figure. Which combination of resistances, R1 , R2 and R3 gives the correct voltages?

That is
A potential divider is used to give outputs of 2V and 3V from a 5V source, as shown in figure. Which combination of resistances, R1 , R2 and R3 gives the correct voltages?

That is
A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given by :–
A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given by :–
is divisible by_____ in N
is divisible by_____ in N
Let
be a twice differentiable function on
. If
,
and
, for all
, then 
Let
be a twice differentiable function on
. If
,
and
, for all
, then 
A insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the surface and the insect is . If the line joining the centre of the hemispherical surface to the insect makes an angle a with the vertical, the maximum possible value of
is given :
A insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the surface and the insect is . If the line joining the centre of the hemispherical surface to the insect makes an angle a with the vertical, the maximum possible value of
is given :