11) The two ends A and B of a uniform rod of length L = 1 and mass m are moving with velocities vA and vB as shown. The angular velocity of the rod is.
a) 20 rad/sb) 25 rad/sc) 30 rad/sd) 50 rad/s
Answers
Answer:
The answer will be option b
Explanation:
According to the problems the length of the rod is given and velocities of the mass is given as vA and vB
Let us consider that A and B is connection along with X axis
Therefore according to the diagram,
velocity of A along in x axis vA =20 x cos 53 degree = 20 x 3/5 = 12 m/s
velocity of B along in x axis vB =v x cos 37 degree = v x 4/5 m/s
Therefore ,
v x 4/5 = 12
=> v = 15 m/s
velocity of A along in y axis vA =20 x sin 53 degree = 20 x 4/5 = 16 m/s
velocity of B along in y axis vB =15 x sin 37 degree = 15 x 3/5 = 9 m/s
As the rod is moving therefore the angular velocity of the rod ω
ω = Velocity of A along in y axis + velocity of along is y axis/ distance between A and B
= 16+9/1 = 25 rad /s
Explanation:
hope it helps you a lot !!!!
