A frictionless vertical post is inserted into a bowling ball
with a hole drilled through its center. The ball has a mass of 10.5
kg. A rope is attached to a ring that has been affixed to the ball.
Kurt pulls on the rope at an angle of 0 = 24.5° with respect to the
vertical with a constant force of magnitude |F| = 134 N .
(a) How much work does Kurt do on
the bowling ball by raising...
A sphere with a hole drilled through its center is threaded onto
a wire. The wire is attached to an electric motor, causing the wire
to revolve around the vertical axis as shown in the figure. The
angular velocity (ω) does not change. The wire’s shape is given by
z=b(r^2) where r is the distance from the z axis and b is a
positive constant. Treat the sphere as a point mass; you may
neglect friction in this problem.
a/Write...
A thin 0.100-kg rod that is 350mm long has a small hole drilled
through it 87.5mm from one end. A metal wire is strung through the
hole, and the rod is free to rotate about the wire.
Part A
Determine the rod's rotational inertia I about this
axis.
Express your answer with the appropriate units.
I = ?
Part B
Determine the period of the rod's oscillation.
Express your answer to two significant digits and include the
appropriate units.
T...
A thin 0.200-kg rod that is 350 mm long has a small hole drilled
through it 87.5 mm from one end. A metal wire is strung through the
hole, and the rod is free to rotate about the wire.
A. Determine the rod's rotational inertia I about this
axis.
B. Determine the period of the rod's oscillation.
A Black Hole has an event horizon, located at the Schwartzschild
radius from the center of the black hole. The Schwartzschild radius
of a black hole is proportional to its mass. We can write a handy
version of this equation for stars in terms of Solar Masses as
follows: R = 3M
Where R is measured in kilometers and M in Solar Masses. So a 1
solar mass object (the Sun for example) if turned into a black hole
would...
What is the Schwarzschild radius of the black
hole at the center of the Milky Way? What
is the ratio of
the gravitational acceleration the Sun feels from this black hole
to the
gravitational
acceleration the Sun feels from the entire Milky Way? Comment on
the
gravitational
significance the black hole has on our Solar System.
A 3/4" diameter hole is to be drilled through 3/4" thick piece
of steel plate. The twist drill is to be fed at 0.025 ipr. Maximum
cutting speed of 70 fpm is recommended.
Calculate:
A) Cutting time
B) Metal Removal Rate (MRR)
A Ferris wheel with radius 14.0 m is turning about a horizontal
axis through its center, as shown in the figure below. The linear
speed of a passenger on the rim is constant and equal to
6.30m/s.
A) What is the magnitude of the
passenger's acceleration as she passes through the lowest point in
her circular motion? Express
your answer in meters per second squared to three significant
figures.
B) What is the direction
of the passenger's acceleration as she...
A disk (radius 95.8 cm] rotates about a fixed axis through its
center of mass and perpendicular to the disk. At t = 0 the
disk is rotating at frequency 6.47 Hz, and it accelerates uniformly
to frequency 73.8 Hz after spinning through 38.4 revolutions. Find
the angular acceleration of the disk, in rad/s2.
The wheel of a cart has radius 53.9 cm. How many revolutions
will it make if the cart goes 2.79 km?
An electric fan is turned...