The angle of the inclined plane at which the body just begins to slide down the plane, is called helix angle.

When a body resting on an inclined surface just begins to slide down the inclined plane under the action of its own weight, then the angle of inclination of the inclined plane is

A

Greater than the angle of repose

B

Less than the angle of repose

C

Equal to the angle of repose

D

Vertical

E

Horizontal

A body, resting on a rough horizontal plane required a pull of 181 N inclined at 30° to the plane just to move it. It was recorded that a push of 220 N inclined at 30° to the plane just moved the body. Estimate the weight of the body in N.

A

2000N

B

2500N

C

1000N

D

4000N

A body, resting on a rough horizontal plane required a pull of 181 N inclined at 30° to the plane just to move it. It was recorded that a push of 220 N inclined at 30°° to the plane just moved the body. Estimate the coefficient of friction.

A

0.17

B

0.2

C

0.5

D

0.75

This are the following statements given regarding satellite’s motion a. A satellite in geostationary orbit lies in the same plane with equator b. A satellite in geosynchronous orbit lies in the same plane with equator c. A satellite in geostationary orbit does not lie in the same plane with equator, it is inclined at some angle from plane of equator d. A satellite in geosynchronous orbit does not lie in the same plane with equator, it is inclined at some angle from plane of equator Choose one of the following options

A

Both option a and b are correct

B

Both option a and c are correct

C

Both option a and d are correct

D

Both option b and c are correct

A body of mass 10 kg is initially stationary on a 45° inclined plane as shown in figure. The coefficient of dynamic friction between the body and the plane is 0.3. The body slides down the plane and attains a velocity of 20 m/s. The distance travelled (in metre) by the body along the plane is close to

A

4.8

B

98

C

41

D

9.8

A body of weight ‘w’ placed on an inclined plane is acted upon by a force ‘P’ parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is ‘θ’ and angle of friction is ‘φ’, the minimum value of ‘P’, is

A

w sin (φ - θ)/cos φ

B

w sin (θ - φ)/cos φ

C

w cos (θ + φ)/cos φ

D

w sinθ cos(θ - φ)/sin φ

A body of weight w placed on an inclined plane is acted upon by a force P parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is $$\theta $$ and angle of friction is $$\varphi $$, the minimum value of P, is

A

$$\frac{{{\text{w}}\sin \left( {\varphi - \theta } \right)}}{{\cos \varphi }}$$

B

$$\frac{{{\text{w}}\sin \left( {\theta - \varphi } \right)}}{{\cos \varphi }}$$

C

$$\frac{{{\text{w}}\cos \left( {\theta + \varphi } \right)}}{{\cos \varphi }}$$

D

$$\frac{{{\text{w}}\sin \theta \cos\left( {\theta - \varphi } \right)}}{{\sin\varphi }}$$

A mass of 4kg rests on a horizontal plane. The plane is gradually inclined until at an angle θ= 15° with the horizontal, the mass just begins to slide. What is the coefficient of static friction between the block and the surface?

A

0.814

B

0.27

C

1.5

D

3.5

A body of mass 2kg begins to slide down a plane inclined at an angle of 45° with the horizontal. The force of friction will be?

A

19.6sin 45°

B

9.8sin 45°

C

19.6cos 45°

D

9.8cos 45°

A body is resting on a plane inclined at angle 30° to horizontal. What force would be required to slide it down, if the coefficient of friction between body and plane is 0.3?

A

Zero

B

1 kg

C

5 kg

D

10 kg

E

None of these

The angle of the inclined plane at which the body just begins to slide down the plane, is called helix angle.

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