Question

D-2.
An inclined plane makes an angle 0. = 30° with the horizontal. A particle is projected from this plane with
a speed of 5 m/s at an angle of elevation B = 30° with the horizontal as shown.
5m/s
(a) Find the range of the particle on the plane when it strikes the plane.
[bFind the range of the particle for p = 120°​

Answer 1

a. α

′

=θ

0 +β=60 o R= gcosθ 0u 2

[sin(2α ′ −θ 0 )+sinθ 0 ]

= 10cos 2 30 o 5 2

[sin(2×60 o −30 o )+sin30 o ]=5

b. α+θ 0 +120 o =180 o

⇒α=30 oR= gcosθ 0

u 2[sin(2α+θ 0 )−sinθ 0 ]= 10cos

2 30 o

52

[sin(2×30 o +30 )−sin30 ]=5/3m