File Name: conical pendulum problems and solutions .zip
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- Conical Pendulum
- HSC Physics Module 5 Practice Questions with Solutions
Problems concerning the conical pendulum assume no air resistance and that the string has no mass and cannot be stretched. The solution of problems involves resolving forces on the mass vertically and horizontally. In this way the speed of the mass, the tension in the string and the period of revolution can be.
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Problems concerning the conical pendulum assume no air resistance and that the string has no mass and cannot be stretched. The solution of problems involves resolving forces on the mass vertically and horizontally. In this way the speed of the mass, the tension in the string and the period of revolution can be. A 20g mass moves as a conical pendulum with string length 8 x and speed v. If the radius of the circular motion is 5 x find:. Consider a mass m performing circular motion under gravity, the circle with radius r.
The centripetal force on the mass varies at different positions on the circle. A 50g mass suspended at the end of a light inextensible string performs vertical motion of radius 2m. If the mass has a speed of 5 ms -1 when the string makes an angle of 30 o with the vertical, what is the tension? A 5kg mass performs circular motion at the end of a light inextensible string of length 3m.
If the speed of the mass is 2 ms -1 when the string is horizontal, what is its speed at the bottom of the circle? In this way the speed of the mass, the tension in the string and the period of revolution can be ascertained.
The conical pendulum lab allows students to investigate the physics and mathematics of uniform circular motion. The plane and the supporting string trace a conical pendulum. Students measure the velocity of the plane directly and then compare that value to the velocity predicted by analyzing the forces acting on the plane. Make sure the plane is mounted securely and will not break loose during flight. First, check that the battery compartment of the plane is securely fastened.
Example The Conical Pendulum. A small ball of mass m is suspended from a string of length L. The ball revolves with constant speed v in a horizontal circle.
HSC Physics Module 5 Practice Questions with Solutions
In this article, we consider the behaviour of a simple undamped spherical pendulum subject to high-frequency small amplitude vertical oscillations of its pivot. We use the method of multiple scales to derive an autonomous ordinary differential equation describing the slow time behaviour of the polar angle which generalises the Kapitza equation for the plane problem. We analyse the phase plane structure of this equation and show that for a range of parameter values there are conical orbits which lie entirely above the horizontal. Going further, we identify a family of quasi-conical orbits some of which may lie entirely above the pivot and establish that initial conditions can be chosen so that precession is eliminated for these orbits.
A conical pendulum consists of a weight or bob fixed on the end of a string or rod suspended from a pivot. Its construction is similar to an ordinary pendulum ; however, instead of swinging back and forth, the bob of a conical pendulum moves at a constant speed in a circle with the string or rod tracing out a cone. The conical pendulum was first studied by the English scientist Robert Hooke around  as a model for the orbital motion of planets.
The nonlinear dynamic behavior of liquid sloshing in a carrier is investigated in this research with consideration the effects of viscosity of the liquid and varying gravity on the carrier. Liquid sloshing in the tank of the carrier is analogized as a three-dimensional nonlinear conical pendulum model. The solutions of the coupled governing equations for the sloshing are developed and solved numerically. Both inviscid and viscous liquids are considered and compared for their effects on the sloshing. With the research results obtained, viscosity of the liquid plays a significant role in the nonlinear dynamic behavior of liquid sloshing.
A pendulum is a body suspended from a fixed support so that it swings freely back and forth under the influence of gravity.