A counterweight of mass m = 3.60 kg is attached to a light cord that is wound around a pulley as shown in the figure below. The pulley is a thin hoop of radius R = 7.00 cm and mass M = 1.50 kg. The spokes have negligible mass. M m (a) What is the net torque on the system about the axle of the pulley? magnitude 2.058 x N-m direction to the right along the axis of rotation (b) When the counterweight has a speed v, the pulley has an angular speed = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley. (0.357 kg - m)v (c) Find the magnitude of the acceleration of the counterweight. 5.76 x m/s²

A counterweight of mass m = 3.60 kg is attached to a light cord that is wound around a pulley as shown in the figure below. The pulley is a thin hoop of radius R = 7.00 cm and mass M = 1.50 kg. The spokes have negligible mass. M m (a) What is the net torque on the system about the axle of the pulley? magnitude 2.058 x N-m direction to the right along the axis of rotation (b) When the counterweight has a speed v, the pulley has an angular speed = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley. (0.357 kg - m)v (c) Find the magnitude of the acceleration of the counterweight. 5.76 x m/s²

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: Find the net torque on the wheel in the figure below about the axle through O, taking a = 13.0 cm…

A: we have given a=13cm =0.13 m b=27cm =0.27 m

Q: A square metal plate with mass M = 6. 00 [kg] and side length 3.00 [m] is pivoted about an axis…

A: The free-body diagram of the given force system is shown below.

Q: When opening a door, you push on it perpendicularly with a force of 57.5 N at a distance of 0.75 m…

A: Given data: Force (F) = 57.5 N Distance (r) = 0.75 m Angle (θ) = 90°, Perpendicular Required:…

Q: A one-piece cylinder has a core section protruding from the larger drum and is free to rotate around…

Q: F = N-m 124 N at an angle 37.0° below the horizontal? The force is applied at a point L = 2.02 m…

A: Step 1:

Q: An Atwood's machine consists of blocks of masses m, = 11.0 kg and m, = 23.0 kg attached by a cord…

Q: PROBLEM 1-A uniform beam (uniform rod) is being used to support a sign: Suddenly, theifmas…

A: The objective of the question is to find the angular acceleration of the beam at the moment the…

Q: A uniform door weighs 51.00 N and is 1.100 m wide and 2.400 m high. What is the magnitude of the…

A: Given data: The weight of the door is W=51 N. The height of door is h=2.4 m. The width of the door…

Q: The figure below shows forces acting at various points on a metal cylinder. The angles a = 42°, B =…

A: Given data: Length of cylinder, l=3.6 m. Angle, α=42°. Angle, β=31°. Angle, γ=15°. Force, F1=30 N.…

Q: Find the magnitude of the net torque (in N.m) on the wheel shown in the Figure about the axle…

A: Solution: Given that F =36 N a = 5 cm b = 20 cm

Q: A horizontal force of 10.1 N is applied at an angle of 34.9 degrees to the knob of a 71.1 cm wide…

A: If the line of axis of a force passing through the axis of the door or parallel to the axis of the…

Q: An 8.0-cm radius disk with a rotational inertia of 0.12 kg.m² is free to rotate on a horizontal…

A: 1:1. Relate Torque and Angular Acceleration:• Torque (τ): This is a rotational force that causes an…

Q: Find the magnitude of the net torque on the wheel in Figure below about the axle through O, taking a…

A: Given data:The magnitude of the applied forces are:Formula:The formula for torque is given as,Where,…

Q: 10.0 N 30.0 12.0 N b. 9.00 N Consider the figure above, which shows a brass axle of radius a…

A: The problem is based on the concept of Torque of force about an axis of rotation. Let O is the axis…

Q: PROBLEM 1-A uniform beam (uniform rod) is being used to support a sign: Suddenly, thefama horizontal…

A: The objective of this problem is to find the angular acceleration of the beam at the moment the…

Q: A large wind turbine has I= .45 mr². The mass of the turning hub and blades is 3800 kg with a radius…

Q: A uniform door weighs 46.00 N and is 0.9000 m wide and 2.800 m high. What is the magnitude of the…

Q: A thin rod (seesaw) has length L m and mass M kg. It is resting at an angle of 30° with respect to…

Q: PROBLEM 1-A uniform beam (uniform rod) is being used to support a sign: Suddenly, the fe horizontal…

Q: a doctor opens a 1.5 m door by pushing it with a force of 39.7 N. What magnitude torque does she…

A: Given values:Applied force, F = 39.7 NDistance from the axis to the center of the door, r = 1.5 / 2…

Q: 12.0 N 30.0% b 10.0 N 9.00 N The figure shows one cylinder inside another. The inner cylinder has a…

A: Given: mass of inner cylinder, ma=2 kg mass of inner cylinder, ra=0.5 m radius of outer cylinder,…

Q: NO AI PLEASE

A: (a) Torque due to the weight (W) Given:Weight of the engine (W)=12000NDistance from the axis to the…

Q: A counterweight of mass m = 3.60 kg is attached to a light cord that is wound around a pulley as…

Q: 2 m P 45° 60° 6 m F

A: F1 = 20 N F2 = 25 N θ1 = 45oθ2 = 60o

Q: A student holds a stick as in the diagram in the position shown where a = 23.0°. The mass of the…

A: Given value--- mass = 3.70 kg. length = 4.4 m. angle = 23 degree. We have to find--- torque?

Q: In the figure here, a cylinder having a mass of 4.5 kg can rotate about its central axis through…

Q: A wheel of inner radius r, = 13.4 cm and outer radius r2 = 35.0 cm shown in the figure below is free…

A: Givenr1=13.4 cm=0.134 mr2=35.0 cm=0.35 mF1=3.80 NF2=6.60 NF3=14.6 N

Q: In figure forces F1 and F2 have magnitudes 20N and 15N respectively and act on a disk nailed at…

Q: A bar on a hinge starts from rest and rotates with an angular acceleration a = 15 + 7t, where a is…

A: Given Data Initial angular velocity of the bar is ω0=0 Angular acceleration of the bar is given as…

Q: A turntable must spin at 33.3 rev/min (3.49 rad/s) to play an old-fashioned vinyl record. How much…

A: Initial angular speed is Final angular speed is Angular displacement is Diameter of the disk is Mass…

Q: A turntable must spin at 33 turntable is to reach its final angular speed in 2.30 revolutions,…

A: Expression for angular acceleration of the disk is α=ωf2-ωi22∆θ Expression for torque τ=Iα=12md24α…

Q: What is the torque by the trash can about the center of the seesaw, in N-m? Use g = 10 m/s². Your…

Q: 25 N 1 30° 20° 45° 2.0 m C 10 N 4.0 m - 30 N

Q: The body in the figure is pivoted at O. Three forces act on it in the directions shown: FA = 12.0 N…

Q: A uniform beam of weight 12 N and length 10 m is mounted by a small hinge on a wall. The beam is…

Q: A 80-N plank is free to rotate around point P (see figure). Find the magnitude and direction ("+"…

Q: a meterstick is balanced at the 60.0 cm mark on a fulcrum. A 63.0 gram object is hung from the 10.0…

A: a)The mass of the meter stick by equating the net torque is,

Question

### Analyzing Torque and Angular Momentum in a Pulley System

A counterweight of mass \( m = 3.60 \, \text{kg} \) is attached to a light cord that is wound around a pulley, depicted in the figure. The pulley is a thin hoop with a radius \( R = 7.00 \, \text{cm} \) and a mass \( M = 1.50 \, \text{kg} \). The spokes have negligible mass.

#### (a) Net Torque on the Pulley

- **Magnitude:** \( 2.058 \, \text{N} \cdot \text{m} \)
- **Direction:** To the right along the axis of rotation.

#### (b) Total Angular Momentum

When the counterweight has a speed \( v \), the pulley's angular speed \( \omega = v/R \). Calculate the total angular momentum of the system about the axle of the pulley:

- **Magnitude:** \( 0.357 \, \text{kg} \cdot \text{m}^2/\text{s} \)

#### (c) Acceleration of the Counterweight

- **Magnitude:** \( 5.76 \, \text{m/s}^2 \)

### Visual Diagram Explanation

The diagram shows:

- A pulley system with a light cord wrapped around it.
- A counterweight \( m \) hanging downwards.
- The pulley is represented as a circle with internal spokes.
- Arrows indicating the direction of rotation and forces acting on the system.

This setup is used to explore concepts of torque, angular momentum, and acceleration within rotational dynamics.

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: Given :-

VIEW

Step 2: Part (a) Net torque on the system:-

VIEW

Step 3: Part (b) total angular momentum of the system:-

VIEW

Step 4: Part (c) linear acceleration of the hanging mass :-

VIEW

Step 5: Part (c) continue

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 6 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

A wrench 0.8 meters long lies along the positive y-axis, and grips a bolt at the origin. A force is applied in the direction of (0,-1,-3) at the end of the wrench. Find the magnitude of the force in newtons needed to supply 100 newton-meters of torque to the bolt. Force: newtons
On a playground, there is a merry-go-round. In order to get it moving, Bonnie applies a force of 17 N. The merry-go-round measures 5.3 m from the axis of rotation to the edge where Bonnie applies her force. Assuming she applies her force perpendicularly to a line drawn from the axis of rotation, what is the magnitude of the torque t Bonnie imparts to the merry-go-round? T = N.m
Two forces (FA = 34.5 N and FB = 23.3 N) are applied to a meter stick (L = 1.00 m) which can rotate about its left end. Determine the net torque done by both forces. Axis FB 730
PLEASE DRAW AN FBD AND ANSWER IT ON A PAPER The figure shown is on a fixed frictionless axle. It has a moment of inertia of I = 50 kg-m2 . The forces acting on the object are F1 = 100 N, F2 = 200 N, and F3 = 250 N acting at different radii R1 =60 cm, R2 = 42 cm, and R3 = 28 cm. Determine the angular acceleration of the object.
In unit-vector notation, what is the net torque about the origin on a flea located at coordinates (0, -4.30 m, 7.74 m) when forces F = (3.80 N )k and F = (-7.82 N )Ĵ act on the flea? 2 Number i î i i k Units
T m A 25.0 kg mass is hung from a rope that is passed over a pulley and held by a man standing on a ramp. The pulley can be treated as a solid disk with a mass of 10.0 kg that has a radius of 0.400 m. The man pulls the rope so that the pulley rotates from rest through an angular displacement of 15.0 rad in 2.00s. A. What is the angular acceleration of the disk? B. What is the tension of the rope as it pulls up on the box? C. What is the force applied by the man on the rope as he pulls the box upward?
12.0 N 30.0% b 10.0 N 9.00 N The figure shows one cylinder inside another. The inner cylinder has a radius of a = 0.5 m and a mass of 2 kg. The outer cylinder has a radius b = 1.5 m and a mass of 12 kg. On the system act 4 forces. Those shown in figure 2 and a friction force. If the magnitude of the frictional torque is 1.75 mN. Determine: a. The net torque vector on the system. (Magnitude and direction) b. The total moment of inertia of the system
Can you show me how to solve this?
A counterweight of mass m = 4.70 kg is attached to a light cord that is wound around a pulley as shown in the figure below. The pulley is a thin hoop of radius R = 9.00 cm and mass M = 1.50 kg. The spokes have negligible mass. M Ⓡ (a) What is the net torque on the system about the axle of the pulley? magnitude N.m direction ---Select--- (b) When the counterweight has a speed v, the pulley has an angular speed = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley. kg. m)v (c) Using your result from (b) and 7 = dĹ/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.) m/s²
PLEASE SEND THE ANSWER IN 10 MINUTES !!! Find the magnitude of the net torque on the wheel in Figure below about the axle through O, taking a=13cm, b=41cm. The magnitude of the applied forces are F1=11N, F2=20N, and F3=11N. Provide your answer in units of m⋅N and round off your answer to 2 decimal places.