A hollow sphere is rolling along a horizontal floor at 4.80 m/s
when it comes to...
A hollow sphere is rolling along a horizontal floor at 4.80 m/s
when it comes to a 26.0° incline. How far up the incline does it
roll before reversing direction?
The correct answer 4.47 please explain why and show
work?
A uniform solid sphere is rolling along a horizontal surface at
20. m/s. It approaches an incline surface making an angle of 30.°
with the horizontal. How far along the incline (x) will
the sphere travel before coming to a stop?
Note: sinq =
h/x
QIN =
QOUT
KLinear + KRotational =
UG
A hollow cylinder (hoop) is rolling on a horizontal surface at
speed v = 3.3 m/s when it reaches a 16 ? incline.
How far up the incline will it go?
How long will it be on the incline before it arrives back at the
bottom?
Rotational Inertia –Rolling Kinetic Energy.
A solid sphere, a hollow sphere, a hollow cylinder, and a solid
cylinder, all of with same mass (M=0.25 kg ) and radius(R= 0.20 m)
– are placed at the top of an incline at height (h= 1.5 m ). All
the objects are released from rest at the same moment to roll down
without slipping.
Hint: search for the rotational inertia formula for each of the
rolling object first. Then calculate each of them...
1. A hollow sphere (mass 2.75 kg, radius 19.9
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 25.6o 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.
2. At t =...
A mass m = 17 kg is pulled along a horizontal floor, with a
coefficient of kinetic friction μk = 0.06, for a
distance d = 5.1 m. Then the mass is continued to be pulled up a
frictionless incline that makes an angle θ = 28° with the
horizontal. The entire time the massless rope used to pull the
block is pulled parallel to the incline at an angle of θ = 28°
(thus on the incline it is...
A mass m = 16 kg is pulled along a horizontal floor with NO
friction for a distance d =8.4 m. Then the mass is pulled up an
incline that makes an angle ? = 25
A mass m = 17 kg is pulled along a horizontal floor, with a
coefficient of kinetic friction ?k = 0.06, for a distance d = 6.7
m. Then the mass is continued to be pulled up a frictionless
incline that makes an angle ? = 33° with the horizontal. The entire
time the massless rope used to pull the block is pulled parallel to
the incline at an angle of ? = 33° (thus on the incline it is...
A mass m = 17 kg is pulled along a horizontal floor with NO
friction for a distance d =5.7 m. Then the mass is pulled up an
incline that makes an angle θ = 34° with the horizontal and has a
coefficient of kinetic friction μk = 0.38. The entire time the
massless rope used to pull the block is pulled parallel to the
incline at an angle of θ = 34° (thus on the incline it is parallel...
A solid sphere (mass 0.324 kg, radius 0.245 m) sits at rest on a
horizontal floor. You begin to push the sphere until it is rotating
at 42.6 Hz. Assume the sphere always moves by rolling without
slipping. Find the work you have done to accelerated the sphere, in
J.
Let's suppose we are pulling a box of mass m along a horizontal
floor. All sides of the box have the same type of surface (same
coefficient of friction between any side and the floor). In one
case, the contact surface is much larger (first picture) and in
another, it is much smaller. Will there be any difference in the
force of friction? Why?