Question

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

Answer #1

Hence **"A thin-wall hollow cylinder"** has maximum
moment of inertia and time taken is maximum for this.

option C is correct.

**I will be glad to see your comment if you have any query
and thumb up if you are satisfied. Thanks !**

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 objects below, all of mass M and radius R (where
appropriate). They are placed on an incline plane at the same
height. Which object will roll down the incline and reach the
bottom with the greatest total energy?
a) A solid sphere
b) A thin spherical shell
c) A solid cylinder of length L
d) A cylindrical shell of length L
e) All will reach bottom with same energy
Group of answer choices
A solid sphere
A thin...

A solid cylinder of radius 25cm is released from rest at the top
of a smooth 4degree incline of height h=5m. At the same time and
from the same position, a hollow sphere of radius 25 cm is also
released from res. Both objects roll without slipping and both
objects have a mass of 75g.
How long did it take for the faster of the two objects to reach
the bottom of the hill?

A hollow sphere and a solid sphere each have the same mass and
radius. They are released simultaneously from rest and allowed to
roll without slipping down a ramp. Which one reaches the bottom
first? Group of answer choices
the solid sphere
You can't determine which is first unless you know the mass.
You can't determine which is first unless you know the
radius.
They reach the bottom at the same time.
the hollow sphere

A hollow sphere and a solid sphere each have the same mass and
radius. They are released simultaneously from rest and allowed to
roll without slipping down a ramp. Which one reaches the bottom
first?
Group of answer choices
You can't determine which is first unless you know the
radius..
You can't determine which is first unless you know the mass.
They reach the bottom at the same time.
the hollow sphere
the solid sphere

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

Four objects—a hoop, a solid cylinder, a solid sphere, and a
thin, spherical shell—each have a mass of 4.06 kg and a radius of
0.253 m.
(a) Find the moment of inertia for each object as it rotates
about the axes shown in this table.
hoop
___ kg · m2
solid cylinder
___ kg · m2
solid sphere
___ kg · m2
thin, spherical shell
___ kg · m2
(b) Suppose each object is rolled down a ramp. Rank the...

A solid sphere and a hoop start from rest and roll down and
incline plane (without slipping). Assume they both have the same
mass and radius.
(a) Draw the free body diagram and calculate the acceleration of
each.
(b) What is the distance between them after 4.00 s and which one
is in front?

f multiple objects are placed side by side on a ramp, generally
speaking, which object will reach the bottom fastest?
All objects will roll down the slope at the same speed.
The one with the largest radius.
The one with the smallest radius.
The one with the smallest moment of inertia.
The one with the largest moment of inertia.
You have a 5 kg solid metal cylinder with a radius of 2.5
cm. You place it at the top of a...

A solid cylinder rolls without slipping down an incline starting
from rest. At the same time a box starts from rest at the same
altitude and slides down the same incline with negligible friction.
Which arrives at the bottom first?
A. It is impossible to determine.
B. the box
C. the cylinder
D. Both arrive at the same time.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 minutes ago

asked 12 minutes ago

asked 13 minutes ago

asked 21 minutes ago

asked 21 minutes ago

asked 31 minutes ago

asked 41 minutes ago

asked 49 minutes ago

asked 56 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago