The angle of inclination of the plane at which the body begins to move down the plane, is called

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

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

The angle of inclination of the plane, at which the body begins to move down the plane is called

A

angle of friction

B

angle of repose

C

angle of projection

D

none of the mentioned

The angle of inclination of the plane at which the body begins to move down the plane under its own weight is called-

A

Angle of friction

B

Angle of projection

C

Angle of repose

D

None of these

The angle of inclination of the plane, at which the body begins to move down the plane, is called

A

angle of friction

B

angle of repose

C

angle of projection

D

none of the mentioned

If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then i. a force is required to move the body upwards ii. a force is required to move the body downward iii. the body will not be in equilibrium The correct answer is

A

only (i)

B

only (ii)

C

both (i) and (ii)

D

both (i) and (iii)

If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then
i. a force is required to move the body upwards
ii. a force is required to move the body downward
iii. the body will not be in equilibrium
The correct answer is

A

only (i)

B

only (ii)

C

both (i) and (ii)

D

both (i) and (iii)

A body will begin to move down an inclined plane, if the angle of inclination of the plane is ________ the angle of friction.

A

Equal to

B

Less than

C

Greater than

D

None of these

A body will begin to move down an inclined plane if the angle of inclination of the plane is _________ the angle of friction.

A

Equal to

B

Less than

C

Greater than

D

None of these

A body will begin to move down an inclined plane, if the angle of inclination of the plane is ____________ the angle of friction.

A

equal to

B

less than

C

greater than

D

none of the mentioned

The angle of inclination of the plane at which the body begins to move down the plane, is called

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