Question

an amusement park contains a big cylinder of radius R oriented horizontally and rotating with angular velocity w about its axis. Achild of mass m is sitting partway up one side so that she remains at rest a distance h above the bottom of the rotating cylinder. There is the coefficient of kinetic friction between child and the cylinder. In terms of R and h ,

how much is the angle?

What is the normal force N acting on the child ?

Assuming the maximum value of the coefficient of kinetic friction is 1, what is the maximum value of h?

Answer #1

In an amusement park ride passengers stand inside a hollow
cylinder of 2.12 meter radius. The cylinder is then spun and the
floor of the cylinder is dropped away as the passengers stick to
the wall. If the coefficient of static friction between the
passengers and the wall is 0.551, with what angular velocity (rpm)
does the cylinder have to be rotating so the passengers don’t slide
down the wall?

A hollow cylinder (hoop) of mass M and radius R starts rolling
without slipping (with negligible initial speed) from the top of an
inclined plane with angle theta. The cylinder is initially at a
height h from the bottom of the inclined plane. The coefficient of
friction is u. The moment of inertia of the hoop for the rolling
motion described is I= mR^2.
a) What is the magnitude of the net force and net torque acting
on the hoop?...

In an amusement park ride, a giant,
wheel-shaped tube rotates about a vertical axis and when the
angular velocity of the tube gets to a certain value, the floor of
the cage drops out and the riders “stick” to the wall of the
cage.
a) Draw a FBD of all the forces acting
on a rider once the floor drops out
b) If the coefficient of static
friction between the wall and the rider is 0.320 and the cage has...

A playground ride consists of a disk of mass M = 59 kg
and radius R = 1.9 m mounted on a low-friction axle. A
child of mass m = 18 kg runs at speed v = 2.2 m/s
on a line tangential to the disk and jumps onto the outer edge of
the disk.
(b) Relative to the axle, what was the magnitude of the angular
momentum of the child before the collision?
L|C| =
(c) Relative to the...

A) A man holds a 185-N ball in his hand, with the forearm
horizontal (see the figure). He can support the ball in this
position because of the flexor muscle force , which is applied
perpendicular to the forearm. The forearm weighs 18.2 N and has a
center of gravity as indicated. Find (a) the magnitude of and the
(b) magnitude and (c) direction (as a positive angle
counterclockwise from horizontal) of the force applied by the upper
arm bone...

ch 6
1:
It is generally a good idea to gain an understanding of the
"size" of units. Consider the objects and calculate the kinetic
energy of each one.
A ladybug weighing 37.3 mg
flies by your head at 3.83 km/h
.
×10
J
A 7.15 kg
bowling ball slides (not rolls) down an alley at 17.5 km/h
.
J
A car weighing 1260 kg
moves at a speed of 49.5 km/h.
5:
The graph shows the ?-directed force
??...

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