A rod of length 50 cm is pivoted at the one end and incline to the horizontal by 30 degree if the rod is released from the angle what is the value of angular velocity when its is horizontal
Answers
Answered by
0
Answer:
ω = √30 rad
Explanation:
Kinetic energy in case of rotation - 1/2 . I ω²
I - Moment of Inertia
ω - angular velocity
Work Done by gravity from initial to final point.
W = mg l/2 sin 30° = mgl /4 --- (1)
As per work theorem,
W = 1/2 I ω²
W = 1/2 . mL³ /3. ω² --- (2)
Therefore, ω = √30 rad by solving (1) & (2)
Similar questions