The angle of banking for a cyclist taking a turn at a curve is given by tan where symbols have their usual meaning. The value of n is:
1. | 1
|
2. | 2
|
3. | 3
|
4. | 4 |
The maximum constant speed with which a car can move on a flat horizontal circular road with the radius of curvature 20 m and a coefficient of static friction 0.5 is: (g = 10 )
1. | 36 km/h | 2. | 54 km/h |
3. | 72 km/h | 4. | 90 km/h |
A 100 kg gun fires a ball of 1 kg horizontally from a cliff at a height of 500 m. It falls on the ground at a distance of 400 m from the bottom of the cliff. The recoil velocity of the gun is: (Take g = 10 m/s2)
1. 0.2 m/s
2. 0.4 m/s
3. 0.6 m/s
4. 0.8 m/s
A metal sphere is suspended from a wall by a string. The forces acting on the sphere are shown in the figure. Which of the following statements is NOT correct?
1. |
\(\vec N+\vec T+\vec W=0\) |
2. | \(T^2=N^2+W^2\) |
3. | \(T = N + W\) | 4. | \(N = W \tan \theta\) |
Calculate the reading of the spring balance shown in the figure: (take \(g=10\) m/s2)
1. \(60\) N
2. \(40\) N
3. \(50\) N
4. \(80\) N
In the diagram, a 100 kg block is moving up with constant velocity. Find out the tension at point P.
1. 1330 N
2. 490 N
3. 1470 N
4. 980 N
If a young man of mass 60 kg stands on the floor of a lift which is accelerating downwards at 1 , then the reaction of the floor of the lift on the man will be: (g=9.8)
1. | 528 N | 2. | 540 N |
3. | 546 N | 4. | None of these |
If between block A and inclined plane is 0.5 and that between block B and the inclined plane is 0.8, then the normal reaction between blocks A and B will be:
1. 180 N
2. 216 N
3. 0
4. None of these
A particle is on a smooth horizontal plane. A force F is applied, whose F-t graph is given.
Consider the following statements.
a. At time , acceleration is constant.
b. Initially the particle must be at rest.
c. At time , acceleration is constant.
d. The initial acceleration is zero.
Select the correct statement(s):
1. | (a), (c) | 2. | (a), (b), (d) |
3. | (c), (d) | 4. | (b), (c) |
A coin placed on a rotating table just slips if it is placed at a distance 4r from the center. On doubling the angular velocity of the table, the coin will just slip when the distance from the centre is equal to:-
1. 4r
2. 2r
3. r
4.