Home Physics Motion in a Plane Mix A small block slides with velocity 0.5 on t…
Physics Motion in a Plane Mix MCQ (Single Correct)

A small block slides with velocity 0.5 on the horizontal frictionless surface as shown in the Figure. The block leaves the surface at point C. The angle θ in the Figure is :

A
cos –1 (4/9)
B
cos –1 (3/4)
C
cos –1 (1/2)
D
none of the above

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Text Solution

Verified by Experts
The correct answer is:
B

Given v B = 0.5

Assume block leave the contact at C, N = 0

= mg cos θ .... (i)

from energy conservation mv B 2 + mgr (1 – cos θ) = mv c 2 ........... (ii)

from equation and .

m + mg r (1 – cos θ) = mg r cos θ

⇒ cos θ = ⇒ θ = cos –1

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