A conical pendulum is a mass suspended from a point that traces out a horizontal circle. By balancing the weight with the tension in the string, determine the speed of the bob.

Draw a free-body diagram for the mass with the pendulum suspended at an angle θ to the vertical. The tension in the rope is T and the radius of the circle is r.
Firstly, resolve horizontal forces and equate to the centripetal force: Tsinθ = mv^2/r (1), where v is the speed of the bob . Resolve vertical forces Tcosθ-mg = 0 --> Tcosθ = mg (2). Divide (1) and (2) to eliminate T --> sinθ/cosθ = tanθ = v^2/rg. Rearrange for v to get v = (rgtanθ)^1/2.

DS
Answered by Daniel S. Physics tutor

2612 Views

See similar Physics A Level tutors

Related Physics A Level answers

All answers ▸

A box initially at rest is on a plank, of length 5m, that is elevated at an angle such that tan(a)=3/4. When it reaches the end of the plank it has velocity 5ms^-1. Calculate the average frictional force on the box.


what is the scape velocity?


Why does gravitational potential energy have a negative value?


Using Newton's law of universal gravitation, show that T^2 is proportional to r^3 (where T is the orbital period of a planet around a star, and r is the distance between them).


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning