A car of mass \(m\) is moving on a level circular track of radius \(R\). If \(\mu_s\) represent the static friction between the road and tyres of the car, then the maximum speed of the car in circular motion is given by:
1. | \(\sqrt{\mu_{s} mRg} \) | 2. | \(\sqrt{Rg / \mu_{s}}\) |
3. | \(\sqrt{mRg / \mu_{s}} \) | 4. | \(\sqrt{\mu_{s} {Rg}}\) |
A person of mass 60 kg is inside a lift of mass 940 kg and presses the button on control panel. The lift starts moving upwards with an acceleration . If , the tension in the supporting cable is:
1. 9680 N
2. 11000 N
3. 1200 N
4. 8600 N
Two masses of 10 kg and 20 kg respectively are connected by massless spring as shown in the figure. A force of 200 N acts on the 20 kg mass. At the instant shown the 10 kg mass has acceleration 12 . What is the acceleration of 20 kg mass?
1. 12
2. 4
3. 10
4. zero
The slope of a smooth banked horizontal surface road is . If the radius of the curve be , the maximum velocity with which a car can negotiate the curve is given by
(a)
(b)
(c)
(d)
The angle of banking at the turning of a road does not depend upon the
(a) Mass of vehicle
(b) Acceleration due to gravity
(c) The velocity of the vehicle
(d) Radius of the curved path
A block of mass m is in contact with the cart C as shown in the figure.
The coefficient of static friction between the block and the cart is The acceleration of the cart that will prevent the block from falling satisfies
1. 2.
3. 4.
A gramophone record is revolving with an angular velocity A coin is placed at a distance r from the centre of the record. The static coefficient of friction is The coin will revolve with the record if:
1. 2.
3. 4.
The mass of a lift is 2000 kg. When the tension in the supporting cable is 28000 N, its acceleration is:
1.
2.
3.
4.
A body, under the action of a force acquires an acceleration of 1 The mass of this body must be
(1)
(2) 10kg
(3) 20kg
(4)
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 is
1. 0.5N
2. 1.5N
3. N
4. N