Home Physics System of Particles Rotational Motion Mix A uniform rod of mass 1 kg and length 1 m is…
Physics System of Particles Rotational Motion Mix MCQ (Single Correct)

A uniform rod of mass 1 kg and length 1 m is kept vertical on the edge of a horizontal table. The rod is hit at a height 75 cm from table surface as to provide impulse 5 N/S in horizontal direction. Then -

A
Displacement of rod after 1 sec is 5 m
B
Initial velocity of rod is 5 m/s which increases with time
C
Initial angular velocity of rod is 15 rad/sec which increases with time
D
Numbers of rotation in 1 sec is

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The correct answer is:
CHECK THE SOLUTION.

(a, b, d)

Just after impulse -

Velocity of centre of mass =

= 5 m/s (Horizontal)

Angular velocity of rod = = 15 rad/s

∴ Displacement of centre of mass =

[x = Displacement in horizontal direction,

y = Displacement in vertical direction]

= = m

Angular velocity of rod will not increase with time as there is no angular acceleration about axis passing through centre of mass (Torque of mg about centre of mass is zero as it acts through centre of mass)

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