A weight of mass 1.32 kg is suspended by a string wrapped around a pulley wheel, whichconsists of a solid disk of mass 4.47 kg and radius 1.03 m. The system is released fromrest. Over what vertical distance does the hanging mass move in 3.0 seconds? Ignorefriction and drag forces, and assume that the string does not slip.Hint: If the string had 0 length, it would be obvious that the point mass contributesIpt = mR² to the total rotational inertia, since the point mass would be directly stuckon the outside of the pulley. What's the difference if the string has nonzero length, so thatthe point mass hangs below the pulley as in the diagram? None at all! The pulley can't tellthe difference between a point mass attached to it by a 0 length string or a 20 meter longstring. All it knows is that there's a point mass m attached to its outer edge.

Answered: Image /qna-images/answer/e6ba775a-a9dd-4f8e-ba71-6aa6486da47a.jpg

A weight of mass 1.32 kg is suspended by a string wrapped around a pulley wheel, which consists of a solid disk of mass 4.47 kg and radius 1.03 m. The system is released from rest. Over what vertical distance does the hanging mass move in 3.0 seconds? Ignore friction and drag forces, and assume that the string does not slip. Hint: If the string had 0 length, it would be obvious that the point mass contributes directly stuck

A weight of mass 1.32 kg is suspended by a string wrapped around a pulley wheel, which consists of a solid disk of mass 4.47 kg and radius 1.03 m. The system is released from rest. Over what vertical distance does the hanging mass move in 3.0 seconds? Ignore friction and drag forces, and assume that the string does not slip. Hint: If the string had 0 length, it would be obvious that the point mass contributes directly stuck

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: Question 4 М, R m1 M2 Refer to the figure above for this problem. A wooden block of mass m1 = 4.1 kg…

Q: A block of mass m, = 1.55 kg and a block of mass m, = 5.65 kg are connected by a massless string…

Q: Suppose we now turn off the motor and apply a brake to bring the grindstone from its greatest…

A: Given: Moment of inertia of grindstone, I = 2.0 kg-m2 Initial angular speed, ωi = 50 rads Final…

Q: A weight with mass ?w=250 g is tied to a piece of thread wrapped around a spool, which is suspended…

A: Write the net force experienced by mass mw.

Q: An Atwood's machine consists of blocks of masses m1 = 11.0 kg and m2 = 21.0 kg attached by a…

Q: In the figure, a wheel of radius 0.430 m is mounted on a frictionless horizontal axle. A massless…

Q: pulley 3-stage spool +axde

Q: An object with a mass of m5.05 kg is attached to the free end of a light string wrapped around a…

Q: A wheel of radius 69 cm, mass 5 kg, and moment of inertia 1.19025 kg m^2 is mounted on a…

A: The equation of motion for the given problem be defined as, ∑F=mg-Tma=mg-T .........1…

Q: Probiem 2: A string is wrapped around a pulley with a radius of 3.0 cm and no appreciable friction…

Q: A block of mass m₁ = 2.45 kg and a block of mass m₂ = 6.30 kg are connected by a massless string…

A: a). Free body diagrams are drawnb). a = 0.2168 m/s2c). T1 = 9.1836 NT2 = 10.2676 NExplanation:

Q: A light string 4.0 m long is wound around a cylindrical spool of mass 1.0 kg and radius 0.5 m. The…

A: Given:- A light string 4.0 m long is wound around a cylindrical spool of mass 1.0 kg and radius 0.5…

Q: Don't use chat gpt It

A: (a) The tension acting upwards on 𝑚1(𝑇1) is not the same as the tension acting upwards on…

Q: s machine consists of blocks of masses m pulley without slipping. M T₁ || (a) Why must the tension…

A: Mass of block,m1 = 13 kg Mass of block,m2 = 17 kg Mass of solid cylinder,M = 6.50 Kg Radius of solid…

Q: A firm wants to determine the amount of frictional torque in their current line of grindstones, so…

A: Solution: Given data ω0=700 rev/min mass = 1.1 kg r=7.70 cm=7.7×10-2 m (a) Angular acceleration of…

Q: The coefficient of friction between mass m 1 and the surface is 0.15. The pulley is a disk and has a…

Q: A yo-yo-shaped device mounted on a frictionless rotation axis is used to lift a 30 kg box. The outer…

A: Given: Force G : 140 N Mass of block m : 30 kg Acceleration of the block a = 0.8 m/s2 Inner radius r…

Q: A block of mass m, = 2.45 kg and a block of mass m, = 5.65 kg are connected by a massless string…

Q: A metal hoop with 0.21 kg of mass and 0.060 m of radius rolled without slipping on a horizontal…

Q: A box of unknown mass is suspended from the end of a strong, thin wire. The other end of the wire is…

Q: PLease explain how to determine the moment of inertia of an object using position vs time data as it…

Q: In Figure, a constant horizontal force Fapp of magnitude 10 N is applied to a wheel of mass 10O kg…

Q: The Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley.…

Q: A can of juice rolls down a ramp with angle 65 degrees. If the slope were frictionless the can…

A: Consider the following diagram of cylinder. Let the mass of the cylinder be m, the frictional force…

Q: John is pushing his daughter Rachel in a wheelbarrow when it is stopped by a brick 8.00 cm high (see…

Q: The force of T = 23 N is applied to the cord of negligible mass. Determine the angular velocity of…

A: Given, Tension in cord,T=23 N Mass of wheel,M=20 kg Radius of gyration,k=0.2 m Radius of wheel,R=0.4…

Q: 20 kg pulley with a 0.5 m radius is initially at rest. The rotational inertia of the pulley is 0.47…

A: Rotational concept

Q: An Atwood's machine consists of blocks of masses m1 = 13.0 kg and m2 = 16.0 kg attached by a cord…

A: Given, an Atwood's machine consists of blocks of masses m1 = 13.0 kg and m2 = 16.0 kg attached by a…

Q: A pulley with an unknown mass has a 0.3m radius that is initially at rest. The rotational inertia of…

A: Given that, A pulley with an unknown mass has a 0.3m radius that is initially at rest. The…

Q: A weight of mass 1.60 kg is suspended by a string wrapped around a pulley wheel, which consists of a…

Q: aving radius R = 0.250 m and mass M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of 0 =…

Q: In the figure, a uniform sphere of mass m = 1.76 kg and radius r = 0.232 m is held in place by a…

Q: A way to test the tensile strength of a wire is to place a mass at the end of it and spin the…

A: a) Determine the speed of mass.

Q: A string is wrapped around a disk of mass m = 2.2 kg and radius R = 0.08 m. Starting from rest, you…

A: Given :- F = 2 N m =2.2 kg x = 0.12 m d = .27 m R = 0.8 m

Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

100%

A weight of mass 1.32 kg is suspended by a string wrapped around a pulley wheel, which
consists of a solid disk of mass 4.47 kg and radius 1.03 m. The system is released from
rest. Over what vertical distance does the hanging mass move in 3.0 seconds? Ignore
friction and drag forces, and assume that the string does not slip.
Hint: If the string had 0 length, it would be obvious that the point mass contributes
Ipt = mR² to the total rotational inertia, since the point mass would be directly stuck
on the outside of the pulley. What's the difference if the string has nonzero length, so that
the point mass hangs below the pulley as in the diagram? None at all! The pulley can't tell
the difference between a point mass attached to it by a 0 length string or a 20 meter long
string. All it knows is that there's a point mass m attached to its outer edge.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: GIVEN AND REQUIRED

VIEW

Step 2: FBD FOR PULLEY

VIEW

Step 3: FBD FOR HANGING MASS

VIEW

Step 4: CALCULATION

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Angular speed, acceleration and displacement

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

An Atwood's machine consists of blocks of masses m₁ = 13.0 kg and m₂ = 24.0 kg attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass M = 7.60 kg and radius r = 0.200 m. The block of mass m., is allowed to drop, and the cord turns the pulley without slipping. M T2 Q (a) Why must the tension 7₂ be greater than the tension 7₁? This answer has not been graded yet. (b) What is the acceleration of the system, assuming the pulley axis is frictionless? (Give the magnitude of a.) m/s² (c) Find the tensions T, and T₂. T₁ = T2₂ =
A block of mass 2 kg slides down an inclined plane at an angle of 45° with a massless tether attached to a pulley with mass 3 kg and radius 0.7 m at the top of the incline (see the following figure). The pulley can be approximated as a disk. The coefficient of kinetic friction on the plane is 0.2. What is the acceleration of the block (in m/s²)? (Enter the magnitude.) 3.59 45° x m/s²
A solid, uniform disk of radius 0.250 m and mass 49.0 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
A hanging weight, with a mass of m, = 0.370 kg, is attached by a cord to a block with mass m, = 0.850 kg as shown in the figure below. The cord goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R, = 0.0200 m, and an outer radius of R, = 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the block and the table is µ, = 0.250. At the instant shown, the block is moving with a velocity of v; = 0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the cord does not stretch and does not slip on the pulley, and that the mass of the cord is negligible. R2 (a) Using energy methods, find the speed of the block (in m/s) after it has moved a distance of 0.700 m away from the initial position shown. 2.15 x m/s (b) What is the angular speed of the pulley (in rad/s) after the block has moved this…
A 3.9-kg sphere is suspended by a cord that passes over a 1.5-kg pulley of radius 3.3 cm. The cord is attached to a spring whose force constant is k = 86 N/m as in the figure below. Assume the pulley is a solid disk. wwww (a) If the sphere is released from rest with the spring unstretched, what distance does the sphere fall through before stopping? m (b) Find the speed of the sphere after it has fallen 25 cm. m/s
A grindstone has a moment of inertia of 6 x 10-3 kg m2. When a constant torque is applied, the flywheel reaches an angular velocity of 1200 rev/min in 15 s. Assuming it started from rest, find the angular acceleration. Find the unbalanced torque applied. Find the angle turned through in the 15 s. Find the work W done on the flywheel by the torque.
yo-yo with an inner cylinder of r = 3.5 cm and outer radius of R = 6.50cm is at rest on a theta = 30 degree incline. Itis held in place by friction and the tension in the string that is wrapped around its inner cylinder, as shown in the figure. Assume that the positive x-direction points down the incline. Determine the friction force if the mass of the yo-yo is 420g.
A turntable 46.0 cm in diameter diameter starts from rest, and rotates at 68.0 rpm at its first complete revoļution with constant angular acceleration. If it maintains the same acceleration, a) what is the rotational speed at time 34.0 seconds? b) what is the tangential speed of a point 10 cm from the edge of the turntable at time 34.0 seconds? Enter answer "O" in the answer box. Submit in the corresponding folder (or email) your solution by 3:50 pm, include a sketch/drawing of the rotating wheel, and a step- by-step solution.
A block of mass m1 = 2.05 kg and a block of mass m2 = 6.35 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of ? = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks. (c) Determine the tensions in the string on both sides of the pulley.
A uniform disk of radius 0.507 m and unknown mass is constrained to rotate about a perpendicular axis through its center. A ring with the same mass as the disk is attached around the disk's rim. A tangential force of 0.243 N applied at the rim causes an angular acceleration of 0.117 rad/s^2. Find the mass of the disk.
A wheel of radius 0.269 m, which we can model as a thin disk, is mounted on a frictionless horizontal axis. The mass of the wheel is 2.44 kg. A massless cord wrapped around the wheel is attached to a block of 4.16 kg that slides on a horizontal frictionless surface. If a horizontal force P with a magnitude of 10.1 N is applied to the block as shown below. If the wheel and block start at rest, and the block is moved through a displacement of 2.60 m what is the final angular velocity of the wheel in rad/s, assuming the cord does not slip. P
On a vertical plane, a uniform rigid disk rolls without slipping on an inclined surface under the effect of its own weight. The radius r of the disk equals 0.75 m and the mass m equals 10kg. Determine the acceleration of the disk, the necessary friction force at the point of contact between the disk and the inclined plane, and the needed minimum coefficient of static friction. If the disk were rolling up the inclined surface with an angular speed @= 2 rad / sec, determine how far up the surface the disk would travel while still rolling without slipping. 300