The time of flight (t) of a projectile on a horizontal plane is given by

Time of flight of a projectile on a horizontal plane, is

A

$$\frac{{2{\text{u}}\sin \alpha }}{{\text{g}}}$$

B

$$\frac{{2{\text{u}}\cos \alpha }}{{\text{g}}}$$

C

$$\frac{{2{\text{u}}\tan \alpha }}{{\text{g}}}$$

D

$$\frac{{2{\text{u}}\cot \alpha }}{{\text{g}}}$$

A semicircular disc rests on a horizontal surface with its top flat surface horizontal and circular portion touching down. The coefficient of friction between semi circular disc and horizontal surface is µ. This disc is to be pulled by a horizontal force applied at one edge and it always remains horizontal. When the disc is about to start moving, its top horizontal force will

A

Remain horizontal

B

Slant up towards direction of pull

C

Slant down towards direction of pull

D

None of the above

The range of projectile will be maximum for a given velocity of projectile, when the angle of projection ($$\alpha $$) is

A

$$\frac{\beta }{2}$$

B

30° + $$\frac{\beta }{2}$$

C

45° + $$\frac{\beta }{2}$$

D

60° + $$\frac{\beta }{2}$$

The time of flight of a projectile on downward inclined plane depends upon

A

Angle of projection

B

Angle of inclination of the plane

C

Both (A) and (B)

D

None of these

The maximum height of a projectile on a horizontal plane, is

A

$$\frac{{{{\text{u}}^2}{{\sin }^2}\alpha }}{{2{\text{g}}}}$$

B

$$\frac{{{{\text{u}}^2}{{\cos }^2}\alpha }}{{2{\text{g}}}}$$

C

$$\frac{{{{\text{u}}^2}{{\sin }^2}\alpha }}{{\text{g}}}$$

D

$$\frac{{{{\text{u}}^2}{{\cos }^2}\alpha }}{{\text{g}}}$$

The range of projectile on a downward inclined plane is ________ the range on upward inclined plane for the same velocity of projection and angle of projection.

A

Less than

B

More than

C

Equal to

D

None of these

If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is

A

Zero

B

Maximum

C

Minimum

D

None of these

The direction of projection should bisect the angle between the inclined plane and the vertical for a range of a projectile on inclined plane

A

To be zero

B

To be maximum

C

To be minimum

D

None of these

Khan observes that if flight 409 is cancelled, then the manager could not possible arrive in the time for the meeting . But the flight was not cancelled. Therefore, Khan concludes, the manager will certainly be on time . Halima replies that even if Khan's premises are true, his argument is fallacious. And therefore, she adds, the manager will not arrive on time after all. Which of the following is the strongest thing that we can properly say about this discussion ?

A

Halima is mistaken in thinking Khan's argument to be fallacious, and so her own conclusion is unwarranted.

B

Halima is right about Khan's argument, but nevertheless her own conclusion is unwarranted

C

Since Halima is mistaken about Khan's argument , her own conclusion must be false.

D

Halima is right about Khan's argument, but nevertheless her own conclusion is false

A body of weight 'W' is required to move up on rough inclined plane whose angle of inclination with the horizontal is 'α'. The effort applied parallel to the plane is given by (where μ = tanφ = Coefficient of friction between the plane and the body.)

A

P = W tanα

B

P = W tan (α + φ)

C

P = W (sinα + μcosα)

D

P = W (cosα + μsinα)

The time of flight (t) of a projectile on a horizontal plane is given by

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