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

2359 Views

See similar Physics A Level tutors

Related Physics A Level answers

All answers ▸

A car undergoes uniform acceleration from a starting velocity of 10ms^-1 to 20ms^-1 in 10s. Assuming the car's mass is 2000kg, calculate the net force in the direction of the acceleration.


A car of mass 800 kg is accelerated horizontally by constant net force of 1920 N for 9 s. It then breaks for 2 s, but drives off a 5 m high cliff. If μ = 0.85, what is the total horizontal distance travelled by car and its velocity? Ignore air resistance.


An electron and a proton are in any electric field E=5x10^2 V/m. What is their speed 1.0 cm after being released?


What is the Rutherford scattering experiment and what did it tell us about the nature of the atom?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences