Question

Three identical stars of mass (m) rotate in a perfect circle of radius (r) about their center of mass. If they are equally spaced out along this circle, such that the stars form an equilateral triangle, what is the period of their rotation (T)?

Answer #1

In this question we have to find the time period of rotation of the stars.

Three stars, each with the mass of our sun, form an equilateral
triangle with sides 3×1011 m long. The triangle has to
rotate, because otherwise the stars would crash together in the
center. What is the period of rotation?
Give your answer in years.

Two identical stars with mass M orbit around their center of
mass. Each orbit is circular and has radius R, so that the two
stars are always on opposite sides of the circle.
A) Find the orbital speed of each star and the period of the
orbit.
B) Suppose each identical mass for the binary stars is halved,
then the orbital period would change by:
a. Remain the same
b. Change by a factor of 1/?2
c. Change by a...

URGENT!! PLEASE ANSER QUICKLY
Two identical stars with mass ? orbit around their center of
mass. Each orbit is circular and has radius R, so that the two
stars are always on the opposite sides of the circle. Find the
period of the orbit and the orbital speed of each star.

A particle of mass m moves about a circle of radius R from the
origin center, under the action of an attractive force from the
coordinate point P (–R, 0) and inversely proportional to the square
of the distance.
Determine the work carried out by said force when the point is
transferred from A (R, 0) to B (0, R).

In a double-star system, two stars of mass 4.8 x 1030 kg each
rotate about the system's center of mass at radius 1.4 x 1011 m.
(a) What is their common angular speed? (b) If a meteoroid passes
through the system's center of mass perpendicular to their orbital
plane, what minimum speed must it have at the center of mass if it
is to escape to “infinity” from the two-star system?

A cylinder of mass M, radius r, is set to rotate with angular
velocity ω0 about its own axis, which is fixed. If after time t the
angular velocity is ω1, find the frictional torque N on the
cylinder at time t, assuming that: (a) N is constant, (b) N is
proportional to ω, the instantaneous angular velocity

A particle of mass m moves in a circle of radius R at a constant
speed v as shown in the figure. The motion begins at point Q at
time t = 0. Determine the angular momentum of the particle about
the axis perpendicular to the page through point P as a function of
time.

A uniform disk of radius 0.529 m and unknown mass is constrained
to rotate about a perpendicular axis through its center. A ring
with same mass as the disk\'s is attached around the disk\'s rim. A
tangential force of 0.223 N applied at the rim causes an angular
acceleration of 0.103 rad/s2. Find the mass of the disk.

A cylindrical drum of mass M, radius R and moment of inertia Icm
can rotate about its central axis. A Mass m is suspended from a
light rope that has previously been wound around the drum. The mass
is frees from the rest at a height h on the floor, unwinding the
rope when falling. a) Ignoring the friction, use the Newton's
second law to calculate the tension in the string while m is
falling. b) Ignoring the friction, uses...

consider an object of mass m moving in a circle of radius r with a
constant speed v. what is a possible formula for the objects
acceleration a (in m/s^2)?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 5 minutes ago

asked 6 minutes ago

asked 28 minutes ago

asked 32 minutes ago

asked 33 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago