Question

A 99.1 kg cart travels at constant speed, and its four wheels
are rolling without slipping. The wheels are disks (radius 0.613 m,
mass 3.7 kg), and they turn at constant *ω =* 85.3 rad/s.
Find the total kinetic energy of the cart.

** NOTE**: first, you must find the speed
of the cart!

Answer #1

A 15.4 kg cart travels at constant speed, and its four wheels
are rolling without slipping. The wheels are disks (radius 0.761 m,
mass 1.39 kg), and they turn at constant ω = 15.5 rad/s. Find the
total kinetic energy of the cart.
NOTE: first, you must find the speed of the cart!

A 44.3 kg cart travels at constant speed, and its four wheels
are rolling without slipping. The wheels are disks (radius 0.88 m,
mass 8.69 kg), and they turn at constant ω = 40.2 rad/s. Find the
total kinetic energy of the cart. NOTE: first, you must find the
speed of the cart!

First, the speed of the car must be found and then solve the
problem
A 86.3 kg cart travels at constant speed, and its four wheels
are rolling without slipping. The wheels are disks (radius 0.254 m,
mass 5.79 kg), and they turn at constant ω = 36.9 rad/s. Find the
total kinetic energy of the cart.

QUESTION 13
A chimney (length 13.4 m, mass 648 kg] cracks at the base and
topples. Assume:
- the chimney behaves like a thin rod, and does not break apart
as it falls.
- only gravity (no friction) acts on the chimney as it
falls.
- the bottom of the chimney pivots, but does not move.
Find the linear speed of the center of mass of the chimney, in
m/s, just as it hits the ground.
QUESTION 15
A 75.1 kg...

A 17.0-kg minivan tire is rolling without slipping with a speed
of 5.25 m/s. The tire has a radius of 43.2 cm. Approximate the tire
as a disk. Calculate the angular speed, the rotational kinetic
energy, and the total kinetic energy of the tire.

A 150.0 kg cart rides down a set of tracks on four solid steel
wheels, each with radius 20.0 cm and mass 45.0 kg. The tracks slope
downward at an angle of 17 ∘ to the horizontal. If the cart is
released from rest a distance of 12.5 m from the bottom of the
track (measured along the slope), how fast will it be moving when
it reaches the bottom? Assume that the wheels roll without
slipping, and that there...

A 150.0 kg cart rides down a set of tracks on four solid steel
wheels, each with radius 20.0 cm and mass 45.0 kg. The tracks slope
downward at an angle of 25 ∘∘ to the horizontal. If the cart is
released from rest a distance of 28.0 mm from the bottom of the
track (measured along the slope), how fast will it be moving when
it reaches the bottom? Assume that the wheels roll without slipping
and that there...

A hollow sphere (mass 8.8 kg, radius 54.8 cm) is rolling without
slipping along a horizontal surface, so its center of mass is
moving at speed vo. It now comes to an incline that makes an angle
56o with the horizontal, and it rolls without slipping up the
incline until it comes to a complete stop. Find a, the magnitude of
the linear acceleration of the ball as it travels up the incline,
in m/s2.

URGENT!!
a) A ball of radius ? and mass ? is rolling without slipping on
the surface of a ring of radius ?. At a given instant, the ring is
rotating with angular speed Ω counterclockwise as shown in the
figure and the ball is rolling without slipping. What is the speed
of the center of mass of the ball at that instant if it has
clockwise angular speed of ω?
b)A yo-yo of mass ? has a spool of...

A bicycle wheel of radius r is rolling without slipping with
constant speed Vo around a track with radius R (>>r). What is
the acceleration at the highest and lowest points of the wheel?
Choose the coordinate system with the origin at the center of the
wheen, rather than have the moving system rotate with the wheel,
choose the system which the z' axis points upward.

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