Bug on a bowling ball, Physics

Assignment Help:

Bug on a Bowling Ball

A bug sitting on top of a bowling ball begins to slide o? with negligible friction. Conclude the angle at which the bug leaves the surface.

This problem is easily solved with the aid of the diagram

1978_Bug on a Bowling Ball.png

The forces on the bug include the centripetal force due to gravity, the centrifugal force due to motion along the curve and the resulting normal force.

Fn = mv2/r - mg cos θ

The get done in kinetic energy as the bug slides is provided by the loss in potential energy. Since h = r - r cos θ we have

993_Bug on a Bowling Ball1.png

At the instant the bug leaves the ball the normal force Fn becomes zero. We are able to now substitute the value of the centrifugal force

Fn =(mv2/r)- mgcos θ

The get in kinetic energy as the bug slides is provided by the loss in potential energy. As h = r - r cos θ we have

mv2/2 = mgh

mv2/2 = mgr(1 - cos θ)

mv2/r = 2mgr(1 - cos θ)

At the moment the bug leaves the ball the normal force Fn becomes zero. We are able to now substitute the value of the centrifugal force

285_Bug on a Bowling Ball2.png


Related Discussions:- Bug on a bowling ball

Concept of Speed, KINEMATICS I 1.   x(t) is called displacement and i...

KINEMATICS I 1.   x(t) is called displacement and it denotes the position of the body at a particular time. If the displacement is positive then that body is to the right of

Defect of short sightedness, Defect of short sightedness In this defect...

Defect of short sightedness In this defect the image of the object is formed in front of retina or the lens become so converging.

Scalar aand vector quanties, two vectors 40N and 30N act at acute angle 3o ...

two vectors 40N and 30N act at acute angle 3o degrees to each other find the resultant vector using analytical method

Elementary Mechanics, A bird flies in the east direction with a speed of 5 ...

A bird flies in the east direction with a speed of 5 ms -1 . The wind is blowing towards north at a speed of 3 ms -1 . Determine the relative velocity of the bird with

Identify and state the dissimilar types of energy, A ball of mass 0.7 kg is...

A ball of mass 0.7 kg is dropped vertically from a height of 10 m onto a concrete floor. The ball is observed to bounce a number of times before coming to rest. The coefficient of

Inertia and the right hand turn, Inertia and the Right Hand Turn Suppos...

Inertia and the Right Hand Turn Suppose in which you are a passenger within a car that is forming a right-hand turn. As the car starts to take the turn to the right, you freque

Describe capacitance or capacity of a conductor, Describe capacitance or ca...

Describe capacitance or capacity of a conductor and illustrate the principle of capacitor. Derive the mathematical equation for equivalent capacitance (Capacity) When a number o

Determine dielectric constant of vacuum, Dielectric constant of vacuum is ...

Dielectric constant of vacuum is (A) Infinity. (B) 100. (C) One. (D) Zero. Ans: Dielectric constant of vacuum is one.

Explain annihilation of matter, What do you mean by thermal neutron? What i...

What do you mean by thermal neutron? What is its importance? What do you mean by annihilation of matter? Given an example

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd