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Inclined Plane and Screws

To find maxim...

Question

To find maximum range on inclined plane angle should be ??

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Q. A particle is projected from the bottom of an inclined plane of inclination

30^{\circ} .

α

(from the horizontal) should the particle be projected to get the maximum range on the inclined plane.

Q. For a given velocity of projection from a point on the inclined plane, the maximum range down the plane is three times the maximum range up the incline. Then find the angle of inclination of the inclined plane.

Q. A bullet is fired from the bottom of the inclined plane at angle

θ = 37^{o}

with the inclined plane. The angle of incline is

30^{o}

with the horizontal. Find the (a) position of the maximum height of the bullet from the inclined plane; (b) time of light; (c) range along the incline; (d) the value of

θ

at which the range will be maximum; (e) maximum range.

Q. For a given velocity of projection from a point on the inclined plane, the maximum range down the plane is three times the maximum range up the incline. Then, the angle of inclination of the inclined plane is

Q. A plane surface is inclined making an angle

θ

with the horizontal. From the bottom of this inclined plane, a bullet is fired with velocity

v

. The maximum possible range of the bullet on the inclined plane is:

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