Question

A uniform solid disk of mass 3.60 kg and diameter 45.0 cm starts
from rest and rolls without slipping down a 39.0 ? incline that is
6.25 m long. *g* = 9.81 m/s2 .

(a) Calculate the linear speed of the center of the disk when it reaches the bottom of the incline.

b) Determine the angular speed of the disk about its center at the bottom of the incline.

c) Through what angle (in radians) does this disk turn as it rolls down the incline?

d) Does the linear speed in (a) depend on the radius or mass of the disk?

1. The linear speed depends on the radius of the disk.

2.The linear speed depends on the mass of the disk.

3.The linear speed depends neither on the radius nor on the mass of the disk.

4.The linear speed depends both on the radius and the mass of the disk.

Answer #1

*Check the answer and let me know immediately if you find
something wrong... I will rectify the mistakes asap if any*

A uniform solid disk of mass 3.4 kg and diameter 31 cm starts
from rest and rolls without slipping down a 28 degree incline that
is 7.75 m long. g = 9.81 m/s^2 .
(a) Calculate the linear speed of the center of the disk when it
reaches the bottom of the incline.
b) Determine the angular speed of the disk about its center at
the bottom of the incline.
c) Through what angle (in radians) does this disk turn as...

A uniform solid disk of mass 2.20 kg and diameter 50.0 cm starts
from rest and rolls without slipping down a 30.0 ? incline that is
5.25 m long. g = 9.81 m/s2 .
(a) Calculate the linear speed of the center of the disk when it
reaches the bottom of the incline.
(b) Determine the angular speed of the disk about its center at
the bottom of the incline.
(c) Through what angle (in radians) does this disk turn...

A uniform, solid disk of mass M=4 kg and radius R=2 m, starts
from rest at a height of h=10.00 m and rolls down a 30 degree slope
as shown in the figure.
a) Derive the moment of inertia of the disk.
b) What is the linear speed of the ball when it leaves the
incline? Assume the ball rolls without slipping.

A sphere of radius r0 = 22.0 cm and mass m = 1.20kg starts from
rest and rolls without slipping down a 34.0 degree incline that is
12.0 m long.
Part A: Calculate its translational speed when it reaches the
bottom. (m/s)
Part B: Calculate its rotational speed when it reaches the
bottom. (rad/s)
Part C: What is the ratio of translational to rotational kinetic
energy at the bottom? (Ktr/Krot)
Part D: Does your answer in part A depend on...

A sphere of radius r0 = 22.0 cm and mass m = 1.20kg starts from
rest and rolls without slipping down a 38.0 degree incline that is
11.0 mm long.
A. Calculate its translational speed when it reaches the
bottom.
B. Calculate its rotational speed when it reaches the
bottom.
C. What is the ratio of translational to rotational kinetic
energy at the bottom?
D. Does your answer in part A depend on mass or radius of the
ball?
E....

A solid cylinder rolls without slipping down a 30° incline that
is 5.0 m long. The cylinder's mass is 3.0 kg and its diameter is 44
cmcm . The cylinder starts from rest at the top of the ramp.
1) What is the linear speed of the center of the cylinder when
it reaches the bottom of the ramp.
2) What is the angular speed of the cylinder about its center at
the bottom of the ramp.
3) What is...

A sphere of radius r0 = 23.0 cm and mass m = 1.20kg starts from
rest and rolls without slipping down a 35.0 ∘ incline that is 13.0
m long.
A. Calculate its translational speed when it reaches the
bottom.
B. Calculate its rotational speed when it reaches the
bottom.
C. What is the ratio of translational to rotational kinetic
energy at the bottom?

A sphere of radius r=34.5 cm and mass m= 1.80kg starts from rest
and rolls without slipping down a 30.0 degree incline that is 10.0
m long. calculate the translational and rotational speed when it
reaches the bottom.

A solid cylinder of mass 1.3 kg and radius 2.0 cm starts from
rest at some height above the ground and rolls down an ncline
without slipping. At the bottom of the incline, its linear speed is
2.5 m/s. (a) How much is its angular speed? (b) How much is its
rotational kinetic energy? The moment of inertia of a solid
cyllinder is 21mR2 (c) How much is its total energy at the bottom?
(d) From what height did it...

A solid, uniform disk of radius 0.250 m and mass 54.1 kg rolls
down a ramp of length 3.80 m that makes an angle of 12.0° with the
horizontal. The disk starts from rest from the top of the ramp.
(a) Find the speed of the disk's center of mass when it reaches
the bottom of the ramp.
___________m/s
(b) Find the angular speed of the disk at the bottom of the
ramp.
___________rad/s

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 21 minutes ago

asked 42 minutes ago

asked 58 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago