A string is wound around a hollow cylinder of mass 5 kg and radius 0.5 m. If the string is now pulled with a horizontal force of 40 N and the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular acceleration of the cylinder will be (Neglect the mass and thickness of the string) >40 N

A string is wound around a hollow cylinder of mass 5 kg and radius 0.5 m. If the string is now pulled with a horizontal force of 40 N and the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular acceleration of the cylinder will be (Neglect the mass and thickness of the string) >40 N

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: In the figure, two 5.90 kg blocks are connected by a massless string over a pulley of radius 1.40 cm…

A: When a question with multiple subparts is given and nothing specific is mentioned then according to…

Q: A 240-g mass hangs from a string that is wrapped around a pulley, as shown in the figure. The pulley…

Q: Moment of inertia of the wheel?

Q: In a circus performance, a large 5.0 kg hoop of radius 3.0 m rolls without slipping. If the hoop is…

Q: translational kinetic energy, and what fraction of the kinetic energy is rotational kinetic energy?…

A: m = 2.4 kg r = 0.62 m w = 58 rpm

Q: A disk, initially rotating at 141 rad/s, is slowed down with a constant angular acceleration of…

A: Given data :- initial angular velocity ω0 = 141 rad/sangular acceleration α = -2.90 rad/s2 (∵ ω is…

Q: A torque of magnitude 50Nm acts for 10 seconds to start a small merry-go-round (I = 1/2*m*r^2 ) of…

A: Given data: Torque (τ) = 50 Nm Time (t) = 10 seconds Moment of inertia (I) = (1/2)mr2 Radius (r) =…

Q: m rod of length 3.0 m is pivoted about one end. What would be the angular acceleration due to…

A: We know that the angular torque is given as τ=Iα where I is the moment of inertia α is the angula…

Q: A hollow spherical shell is rolling along the floor. What is the ratio of its total kinetic energy…

A: Linear velocity of sphere is v=rω

Q: In the figure, two 9.20 kg blocks are connected by a massless string over a pulley of radius 1.20 cm…

Q: A 240-g mass hangs from a string that is wrapped around a pulley, as shown in the figure. The pulley…

Q: If the rotational inertia of a disk is 30 kg m2, its radius R is 2.2 m, and its angular velocity…

Q: Earth has a mass of 6.0 x 1024 kg, a radius of 6.4 x 105 m, and an angular velocity of 1.2 x 105…

Q: The angular position of a point on a rotating wheel is given by 0 = 2.4 + 3.7t2 + 2.1t3, where 0 is…

A: Given that:- Angular position of a point=2.4+3.7t^2+2.1t^3

Q: In the figure, two 9.40 kg blocks are connected by a massless string over a pulley of radius 1.60 cm…

A: GIVEN : mass of blocks(m1=m2) =9.4 kg radius of pully(r) =1.6cm rotational inertia(I)…

Q: In the figure, two 7.90 kg blocks are connected by a massless string over a pulley of radius 1.10 cm…

A: Solution:-

Q: A merry-go-round accelerates from rest to 0.63 rad/s in 33 s. Assuming the merry-go-round is a…

Q: A 230-g mass hangs from a string that is wrapped around a pulley, as shown in the figure. The pulley…

Q: (a) Find the maximum angular speed of the roller. ] rad/s (b) What is the maximum tangential speed…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A dragster starts from rest and accelerates down a track. Each tire has a radius of 0.320 m and…

Q: 200 g uniform rod of length 5.0 m is pivoted about one end. What would be the angular acceleration…

Q: A machine part rotates at an angular speed of 0.02 rad/s; its speed is then increased to 3.3 rad/s…

Q: The disk with mass m = 2.5 kg and radius r= 20 cm rotates like a merry-go-round under the torque…

Q: A box of mass 1.49 kg connected to a pulley with a string is pulled by a force F= 114 newtons that…

A: The free-body diagram of the system is given below;

Q: In the figure, two 5.30 kg blocks are connected by a massless string over a pulley of radius 1.80 cm…

Q: A playground carousel is rotating counterclockwise about its center on frictionless bearings. A…

A: To find the final angular speed of the carousel after the person climbs aboard, we need to apply the…

Q: A potter's wheel is a uniform solid disk of radius R = 0.300 m and M = 120 kg. It is initially…

Q: In the figure, two 8.20 kg blocks are connected by a massless string over a pulley of radius 2.40 cm…

Q: A dragster starts from rest and accelerates down a track. Each tire has a radius of 0.320 m and…

Q: In the figure, two 5.40 kg blocks are connected by a massless string over a pulley of radius 2.40 cm…

Q: A dragster starts from rest and accelerates down a track. Each tire has a radius of 0.320 m and…

Q: a solid sphere and a hollow sphere have the same mass and radius. they are rotating with the same…

Q: A disc of mass M and radius R is rolling without slipping. The ratio of its rotational kinetic…

Q: A bicyclist notes that the pedal sprocket has a radius of rp = 8.5 cm while the wheel sprocket has a…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Suppose you exert a tangential force of 450 N to the outer edge of a .5 m radius wooden wheel…

Q: A wheel is spinning at 4.3 rpm, then brakes are applied and the wheel comes to a stop in 25 seconds.…

Q: A box of mass 1.49 kg connected to a pulley with a string is pulled by a force F= 114 newtons that…

A: Given, mass of the box m=1.49 kg F=114 N angle θ=28.2° The radius of the pulley Rp=0.151 m Mass of…

Concept explainers

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).

Question

A string is wound around a hollow cylinder of
mass 5 kg and radius 0.5 m. If the string is
now pulled with a horizontal force of 40 N and
the cylinder is rolling without slipping on a
horizontal surface (see figure), then the
angular acceleration of the cylinder will be
(Neglect the mass and thickness of the
string)
>40 N

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

2
A hollow cylinder has radius 9.5 cm and mass 1.8 kg. The cylinder rolls without slipping at a speed of 1.488 m/s, and begins to roll without slipping up a(n) 11° slope. What is the maximum height the cylinder will reach on the inclined plane when it comes to a stop?
In the figure, two 6.90 kg blocks are connected by a massless string over a pulley of radius 1.10 cm and rotational inertia 7.40 x 10-4 kg-m². The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.900 rad in 148 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T1, and (d) string tension T2? Assume free-fall acceleration to be equal to 9.81 m/s?. (a) Number i Units (b) Number Units (c) Number Units (d) Number Units >
An electric motor rotating a workshop grinding wheel at 1.08 x 10 rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 2.06 rad/s? (a) How long does it take the grinding wheel to stop? Note that the time required for the wheel to stop is the same as the time for the wheel to start from rest and reach the given angular speed with the same magnitude angular acceleration, s (b) Through how many radians has the wheel turned during the time interval found in part (a)? It might be helpful to translate this problems into linear variables (a car traveling with an initial speed and then slowing down with a constant negative acceleration), rad Need Help? Road Master
A 250-g mass hangs from a string that is wrapped around a pulley, as shown in the figure. The pulley is suspended in such a way that it can rotate freely. When the mass is released, it accelerates toward the floor as the string unwinds. Model the pulley as a uniform solid cylinder of mass 1.00 kg and radius 9.00 cm. Assume that the thread has negligible mass and does not slip or stretch as it unwinds. Determine the magnitude a of the pulley's angular acceleration. rad/s? a = Determine the magnitude of the acceleration a of the descending weight. a = m/s? Calculate the magnitude of the tension T' in the string. T =
What is the angular acceleration and how long will it take to decrease rotational speed by 27 rad/s?
A uniform disc of mass 3.0 kg and radius 25 cm is mounted on a fixed horizontal axle. A block with mass 1.8 kg hangs from a light cord that is wrapped around the rim of the disc. What is the angular acceleration of the disc?
A dragster starts from rest and accelerates down a track. Each tire has a radius of 0.320 m and rolls without slipping. At a distance of 393 m, the angular speed of the wheels is 253 rad/s. Determine (a) the linear speed of the dragster and (b) the magnitude of the angular acceleration of its wheels.
In the figure, two 6.30 kg blocks are connected by a massless string over a pulley of radius 1.30 cm and rotational inertia 7.40 x 104 kg-m2. The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.800 rad in 126 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T,, and (d) string tension T,? Assume free-fall acceleration to be equal to 9.81 m/s. (a) Number Units (b) Number Units (c) Number Units (d) Number Units
A merry-go-round accelerates from rest to 0.72 rad/s in 37 s. Assuming the merry-go-round is a uniform disk of radius 8.0 m and mass 3.20×104 kg , calculate the net torque required to accelerate it.