Question

Consider the following three objects, each of the same mass and radius:

1) Solid Sphere

2) Solid Disk

3) Hoop.

All three are release from rest at top of an inclined plane. The three objects proceed down the incline undergoing rolling motion without slipping. use work-kinetic energy theorem to determine which object will reach the bottom of the incline first

Answer #1

Problem 4
A hoop and a solid disk both with Mass (M=0.5 kg) and radius (R=
0.5 m) are placed at the top of an incline at height (h= 10.0 m).
The objects are released from rest and rolls down without
slipping.
a) The solid disk reaches to the bottom of the inclined plane
before the hoop. explain why?
b) Calculate the rotational inertia (moment of inertia) for the
hoop.
c) Calculate the rotational inertia (moment of inertia) for the...

Three small objects, a cube, a solid sphere, and a solid
cylinder, are released simultaneously from the top of three
inclines planes with inclination angles of 15°, 30°, and 60°
respectively. The horizontal distances between the top and bottom
of the inclines are the same. Assume that the cube slides down
without friction while the sphere and cylinder roll down without
slipping. Rank the order in which the objects reach the bottom of
the inclined planes from first to last?...

Suppose a solid sphere of mass 450 g and radius 5.00 cm rolls
without slipping down an inclined plane starting from rest. The
inclined plane is 7.00 m long and makes an angel of 20.0 o from the
horizontal. The linear velocity of the sphere at the bottom of the
incline is _______ m/s. please show work

Four objects with the same mass and radius roll without slipping
down an incline. If they all start at the same location, which
object will take the longest time to reach the bottom of the
incline? Mass Moment of Inertia Table Choices A. A hollow sphere B.
A solid sphere C. A thin-wall hollow cylinder D. They all take the
same time E. A solid cylinder

The following four objects (each of mass m) roll without
slipping down a ramp of height h:
Object 1: solid cylinder of radius r
Object 2: solid cylinder of radius 2r
Object 3: hoop of radius r
Object 4: solid sphere of radius 2r
Rank these four objects on the basis of their rotational kinetic
energy at the bottom of the ramp.

Consider the following four objects: a hoop, a flat disk, a
solid sphere, and a hollow sphere. Each of the objects has mass M
and radius R. The axis of rotation passes through the center of
each object, and is perpendicular to the plane of the hoop and the
plane of the flat disk. If the objects are all spinning with the
same angular momentum, which requires the largest torque to stop
it? (a) the solid sphere (b) the hollow...

If a solid sphere (radius 11.0 cm) and a solid cylinder (radius
10.0 cm) of equal mass are released simultaneously and roll without
slipping down an inclined plane.
A)The sphere reaches the bottom first.
B) The cylinder reaches the bottom first.
C) They reach the bottom together.

A uniform, solid sphere of radius 3.00 cm and mass 2.00 kg
starts with a purely translational speed of 1.25 m/s at the top of
an inclined plane. The surface of the incline is 1.00 m long, and
is tilted at an angle of 25.0 ∘ with respect to the horizontal.
Assuming the sphere rolls without slipping down the incline,
calculate the sphere's final translational speed v 2 at the bottom
of the ramp.

A uniform, solid sphere of radius 4.50 cm and mass 2.25 kg
starts with a purely translational speed of 1.25 m/s at the top of
an inclined plane. The surface of the incline is 2.75 m long, and
is tilted at an angle of 22.0∘ with respect to the horizontal.
Assuming the sphere rolls without slipping down the incline,
calculate the sphere's final translational speed ?2 at the bottom
of the ramp.
?2=__________ m/s

A uniform, solid sphere of radius 3.50 cm and mass 1.25 kg
starts with a purely translational speed of 2.50 m/s at the top of
an inclined plane. The surface of the incline is 1.50 m long, and
is tilted at an angle of 28.0∘ with respect to the horizontal.
Assuming the sphere rolls without slipping down the incline,
calculate the sphere's final translational speed ?2 at the bottom
of the ramp. ?2= m/s

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