A string is wrapped around a uniform solid cylinder of radius 4.60 cm, as shown in the figure. The cylinder can rotate...
A string is wrapped around a uniform solid cylinder of radius
4.60 cm, as shown in the figure. The cylinder can rotate freely
about its axis. The loose end of the string is attached to a block.
The block has mass 19.6 kg, and the cylinder has mass 12.3
kg.
a) Find the magnitude α of the angular acceleration of the cylinder
as the block descends.
b)What is the acceleration of the block?
c)What is the tension in the string?
Homework Answers
Applying newton's 2nd law of motion on the block,
a = mg-T
19.6*a = 192.08 - T ------------- (1)
Applying torque on wheel, τ = Iα
TR = 1/2MR^2*a/R
∴ T = 1/2*12.3*a
T = 6.15*a ------------ (2)
substituting equation (2) in (1),
a = 7.459 m/s^2 and T = 45.875 N
the acceleration of the block is 7.459 m/s^2 and the tension in the string is 45.875 N.
(a) the angular acceleration of the cylender , α = a/R = 7.459/4.60*10^-2 m
∴ α = 162.15 rad/s
Add Answer to:
A string is wrapped around a uniform solid cylinder of radius
4.60 cm, as shown in the figure. The cylinder can rotate...
A string is wrapped around a uniform solid cylinder of radius r, as shown in (Figure 1). The cylinder can rotate freely...
A string is wrapped around a uniform solid cylinder of radius r, as shown in (Figure 1). The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Part A. Find the magnitude α of the angular acceleration of the cylinder as the block descends. Express your answer in terms of the cylinder's radius r and the magnitude of the acceleration due to gravity...
A string is wrapped around a uniform solid cylinder of radius r, as shown in the figure (Figure 1) . The cylinder can r...
A string is wrapped around a uniform solid cylinder of radius r, as shown in the figure (Figure 1) . The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Note that the positive y direction is downward and counterclockwise torques are positive. Find the magnitude α of the angular acceleration of the cylinder as the block descends. Express your answer in terms...
A string is wrapped around a uniform solid cylinder of radius r, as shown in (Figure 1). The cylinder can rota...
A string is wrapped around a uniform solid cylinder of radius r, as shown in (Figure 1). The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Find the magnitude alpha of the angular acceleration of the cylinder as the block descends. Express your answer in terms of the cylinder's radius r and the magnitude of the acceleration due to gravity g.
Please Answer it A string is wrapped around a uniform solid cylinder of radius r, as shown in (Figure 1). The cylinder...
Please Answer it
A string is wrapped around a uniform solid cylinder of radius r, as shown in (Figure 1). The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Find the magnitude alpha of the angular acceleration of the cylinder as the block descends. Express your answer in terms of the cylinder's radius r and the magnitude of the acceleration due to...
A string is wrapped around a uniform solid cylinder of radius , r as shown in the figure (Figure 1) . The cylinder can...
A string is wrapped around a uniform solid cylinder of radius ,
r as shown in the figure (Figure 1) . The cylinder can rotate
freely about its axis. The loose end of the string is attached to a
block. The block and cylinder each have mass m. Note that the
positive y direction is downward and counterclockwise torques are
positive.
Find the magnitudeof the angular acceleration of the cylinder as the block
descends.
Express your answer in terms of...
A string is wrapped around a uniform solid cylinder of radius , r as shown in the figure (Figure 1) . The cylinder can...
A string is wrapped around a uniform solid cylinder of radius ,
r as shown in the figure (Figure 1) . The cylinder can rotate
freely about its axis. The loose end of the string is attached to a
block. The block and cylinder each have mass m. Note that the
positive y direction is downward and counterclockwise torques are
positive.
Find the magnitudeof the angular acceleration of the cylinder as the block
descends.
Express your answer in terms of...
A string is wrapped around a uniform solid cylinder of radius r, as shown in the...
A string is wrapped around a uniform solid cylinder of radius r, as shown in the Figure below. The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. 1. Find the magnitude a of the linear acceleration of the block. 2. Find the magnitude T of the tension in the string.
The figure shows a top view Review A string is wrapped around a uniform solid cylinder of radius r, as...
The figure shows a top view
Review A string is wrapped around a uniform solid cylinder of radius r, as shown in (Figure 1). The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. We were unable to transcribe this image
A string is wrapped around a pulley of mass m, radius r and unknown moment of...
A string is wrapped around a pulley of mass m, radius r and unknown moment of interia. The pulley can rotate freely about its axis without friction. The loose end of the string is attached to a block of mass m. If the magnitude of the angular acceleration of the pulley is 7g/12r what is the moment of interia of the pulley?
A uniform cylinder of mass 3.0 kg and radius 10.0 cm has a rope wrapped around...
A uniform cylinder of mass 3.0 kg and radius 10.0 cm
has a rope wrapped around its edge; a tension of 5.0 N
is
exerted on the rope. The cylinder rotates at a
constantly
increasing rate, starting from rest.
10DCH 1. A uniform cylinder of mass 3.0 kg and radius 10.0 cm has a rope wrapped around its edge; a tension of 5.0 N is exerted on the rope. The cylinder rotates at a constantly increasing rate, starting from rest....
A string is wrapped around a uniform solid cylinder of radius r, as shown in (Figure 1). The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Find the magnitude alpha of the angular acceleration of the cylinder as the block descends. Express your answer in terms of the cylinder's radius r and the magnitude of the acceleration due to gravity g.
Please Answer it
A string is wrapped around a uniform solid cylinder of radius r, as shown in (Figure 1). The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Find the magnitude alpha of the angular acceleration of the cylinder as the block descends. Express your answer in terms of the cylinder's radius r and the magnitude of the acceleration due to...
A string is wrapped around a uniform solid cylinder of radius ,
r as shown in the figure (Figure 1) . The cylinder can rotate
freely about its axis. The loose end of the string is attached to a
block. The block and cylinder each have mass m. Note that the
positive y direction is downward and counterclockwise torques are
positive.
Find the magnitudeof the angular acceleration of the cylinder as the block
descends.
Express your answer in terms of...
A string is wrapped around a uniform solid cylinder of radius ,
r as shown in the figure (Figure 1) . The cylinder can rotate
freely about its axis. The loose end of the string is attached to a
block. The block and cylinder each have mass m. Note that the
positive y direction is downward and counterclockwise torques are
positive.
Find the magnitudeof the angular acceleration of the cylinder as the block
descends.
Express your answer in terms of...
The figure shows a top view
Review A string is wrapped around a uniform solid cylinder of radius r, as shown in (Figure 1). The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. We were unable to transcribe this image
A uniform cylinder of mass 3.0 kg and radius 10.0 cm
has a rope wrapped around its edge; a tension of 5.0 N
is
exerted on the rope. The cylinder rotates at a
constantly
increasing rate, starting from rest.
10DCH 1. A uniform cylinder of mass 3.0 kg and radius 10.0 cm has a rope wrapped around its edge; a tension of 5.0 N is exerted on the rope. The cylinder rotates at a constantly increasing rate, starting from rest....
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago