A plumb-line is set up on a rotating disk and makes an angle of α with the vertical, as in Fig. The distance r from the point of suspension to the axis of rotation is known, and so is the length λ of the thread. Find the angular velocity of rotation.
A
ω = 
B
ω = 
C
ω = 
D
ω = 
Text Solution
Verified by ExpertsThe correct answer is:
A
The plumb-line is so set up that the resultant of its weight mg and the tension in the thread T produces a centripetal force F = m ω 2 R (fig.). Clearly R = r + λ sin α . Therefore,
ω 2 = 
, ω = 
.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A projectile fired with initial velocity u at some angle θ has a range R. If the initial velocity b…
The range of a projectile for a given initial velocity is maximum when the angle of projection is …
The angle of projection at which the horizontal range and maximum height of projectile are equal is
A ball is thrown upwards and it returns to ground describing a parabolic path. Which of the followi…
At the top of the trajectory of a projectile, the directions of its velocity and acceleration are
The height y and the distance x along the horizontal plane of a projectile on a certain planet (wit…