Related Questions

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 angle of projection at which the horizontal range and maximum height of a projectile are equal to
A 36°
B 45°
C 56°
D 76°
The time of flight (t) of a projectile on a horizontal plane is given by
A $${\text{t}} = \frac{{2{\text{u}}\sin \alpha }}{{\text{g}}}$$
B $${\text{t}} = \frac{{2{\text{u}}\cos \alpha }}{{\text{g}}}$$
C $${\text{t}} = \frac{{2{\text{u}}\tan \alpha }}{{\text{g}}}$$
D $${\text{t}} = \frac{{2{\text{u}}}}{{{\text{g}}\sin \alpha }}$$
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 $$\frac{{2{\text{u}}\cot \alpha }}{{\text{g}}}$$
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
A projectile is thrown at an angle ‘α’ to the horizontal with velocity ‘v’. It will have the maximum centripetal acceleration
A At the start
B At the top of the trajectory
C As it strikes the ground
D Elsewhere
For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is
A $$\alpha = \frac{\pi }{4} - \frac{\beta }{2}$$
B $$\alpha = \frac{\pi }{2} + \frac{\beta }{2}$$
C $$\alpha = \frac{\beta }{2} - \frac{\pi }{2}$$
D $$\alpha = \frac{\pi }{4} - \frac{\beta }{4}$$
E $$\alpha = \frac{\pi }{2} - \frac{\beta }{2}$$

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