Consider a particle of mass m contrained to lie on the, Ask an Expert

Academics

Consider a particle of mass m contrained to lie on the surface of a cone with it's vertex pointing down and half angle alpha.

a) write the equations of constraint.

b) employing cylindrical coordinates, (rho,phi,z) write the equations of motion and reduce them to an equivalent one degree of freedom problem using the radial coordinate rho as the independent variable.

c) sketch the effective potential identified from the equations of motion.

d) find the conditions for a circular orbit (rho=rhozero=constant, rhodot=o). And obtain the frequency of small oscillations about rhozero.

View complete question

Physics, Academics

Category:- Physics
Reference No.:- M91025423

Have any Question?Write your Review or question?

Related Questions in Physics

A baseball is thrown vertically upward at a speed of 392

A baseball is thrown vertically upward at a speed of 39.2 m/s. How much time elapsed before it reaches it highest points, and how high above the ground does it get?

Question riders on the tower of doom an amusement park ride

Question: Riders on the Tower of Doom, an amusement park ride, experience 2.0 s of free fall, after which they are slowed to a stop in 0.50 s. What is a 65 kg rider's apparent weight as the ride is coming to rest? By wha ...

Question planets beyond the solar system on october 15 2001

Question: Planets beyond the solar system. On October 15, 2001, a planet was discovered orbiting around the star HD68988. Its orbital distance was measured to be 10.5 million kilometers from the center of the star, and i ...

Question a point charge q1 400 nc is placed at the origin

Question: A point charge q1 = 4.00 nC is placed at the origin, and a second point charge q2 = -3.05 nC is placed on the x-axis at x = 21.0 cm. A third point charge q3 = 1.90 nC is to be placed on the x-axis between q1 an ...

Question a slab of insulating material of uniform thickness

Question: A slab of insulating material of uniform thickness d, lying between -d/2 to +d/2 along the x axis, extends infinitely in the y and z directions. The slab has a uniform charge density Ï. The electric field is z ...

A puck is moving on an air hockey table relative to an x y

A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0 s, the x components of the puck's initial velocity and acceleration are v0x = +7.8 m/s and ax = +5.3 m/s2. The y components of ...

The wind blows with a speed of 319 ms over the roof of your

The wind blows with a speed of 31.9 m/s over the roof of your house. Assuming the air inside the house is relatively stagnant, what is the pressure difference at the roof between the inside air and the outside air? Answe ...

Question the radius of the earths very nearly circular

Question: The radius of the earth's very nearly circular orbit around the sun is 1.5x10^11m. Find the magnitude of the earth's velocity as it travels around the sun. Assume a year of 365 days. Find the magnitude of the e ...

Question a rocket starts from rest and moves upward from

Question: A rocket starts from rest and moves upward from the surface of the earth. For the first 10s of its motion, the vertical acceleration of the rocket is given by ay=(3.00m/s3)t, where the +y-direction is upward. W ...

Question six artificial satellites complete one circular

Question: Six artificial satellites complete one circular orbit around a space station in the same amount of time. Each satellite has mass m and radius of orbit L. The satellites fire rockets that provide the force neede ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Physics Expert