In the figure here, a cylinder having a mass of 3.8 kg can rotate about its central axis through point O. Forces are applied as shown: F1 = 1.1 N, F2 = 8.3 N, F3 = 6.4 N, and F4 = 6.8 N. Also, r = 5.8 cm and R = 13 cm. Taking the clockwise direction to be negative, find the angular acceleration of the cylinder. (During the rotation, the forces maintain their same angles relative to the cylinder.) R Rotation axis Number i Unit >

In the figure here, a cylinder having a mass of 3.8 kg can rotate about its central axis through point O. Forces are applied as shown: F1 = 1.1 N, F2 = 8.3 N, F3 = 6.4 N, and F4 = 6.8 N. Also, r = 5.8 cm and R = 13 cm. Taking the clockwise direction to be negative, find the angular acceleration of the cylinder. (During the rotation, the forces maintain their same angles relative to the cylinder.) R Rotation axis Number i Unit >

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: Determine the speed of the block with a mass of 0.60 kg after it has fallen 270 cm. The sphere is a…

Q: The angular velocity of a rotating rigid body increases from 200 to 1,850 rev/min in 130 s. (Enter…

A: Initial velocity wi = 200 rev/min = 200×0.105 rad/s wi = 21 rad/s Final velocity wf = 1850×0.105…

Q: In the figure here, a cylinder having a mass of 3.6 kg can rotate about its central axis through…

Q: In the figure here, a cylinder having a mass of 2.8 kg can rotate about its central axis through…

A: Given: The mass of the cylinder is 2.8 kg. The forces are F1=9.7 N, F2=8.3 N, F3=1.8 N…

Q: As the figure shows, a homogeneous rod of mass 1kg and length L = 2 m is nailed to the wall at its…

A: We will first write an expression for torque and use it to find the net torque due to three given…

Q: A large fish strikes bait cast by a fisherman with a rod and reel. The fish creates tension in the…

A: Torque can be defined as the cross product of the radial vector from the axis of rotation and the…

Q: A ball (mass = 8.5 kg) is rolling at a constant angular acceleration of 1.670 rad/s2. If its…

A: According to the rotational kinematics equation, the angular displacement of the particle is,…

Q: uppose you exert a force of 227 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk).…

Q: A cylinder rotating at 11 rad/s is accelerated to 41 rad/s in 12 s. What is the angular acceleration…

A: Given data: Initial angular velocity (ω0) = 11 rad/s Final angular velocity (ω) = 41 rad/s Time (t)…

Q: A flywheel has a constant angular deceleration of 1.4 rad/s/s. If the flywheel comes to rest from an…

A: Flywheel has a Constant angular deceleration of 1.4 rad/s2 Or α= -1.4 rad/s2 initial angular…

Q: In the figure here, a cylinder having a mass of 1.5 kg can rotate about its central axis through…

Q: An engine flywheel initially rotates counterclockwise at 5.93 rotations/s. Then, during 21.3 s, its…

A: formula:

Q: Suppose you exert a force of 192 N tangential to a 0.235 m radius 75.0 kg grindstone (a solid disk).…

A: Given: The tangential force is 192 N. The radius of the disk is 0.235 m. The mass of the disk is…

Q: Suppose you exert a force of 212 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk).…

Q: A solid cylinder of mass 6.1 kg and radius 0.63 m starts from rest at the top of a ramp, inclined…

Q: In the figure here, a cylinder having a mass of 5.0 kg can rotate about its central axis through…

Q: In the figure here, a cylinder having a mass of 2.3 kg can rotate about its central axis through…

A: Given, mass of the cylinder, m=2.3 kgForces applied,F1 = 3.4 N, F2 = 5.5 N, F3 = 4.1 N and F4 =7.1…

Q: In the figure, the signs are correctly given as: W sign? sign? 4 X sign? Large wheel (big circle),…

Q: A wheel of inner radius r = 14.2 cm and outer radius rz = 35.0 cm shown in the figure below is free…

A: The expression for find net torque on the wheel is Στ=ΣrFsinθ

Q: In the figure here, a cylinder having a mass of 4.9 kg can rotate about its central axis through…

A: Cylinder rotate about its central axis passing through point O. Mass of cylinder Radius of cylinder:…

Q: In the figure here, a cylinder having a mass of 1.5 kg can rotate about its central axis through…

Q: The masses and coordinates of four particles are as follows: 40 g, x = 3.0 cm, y = 1.0 cm; 30 g, x =…

A: The moment of inertia is the product of mass and square of distance from axis. ie, I = mr2

Q: Suppose you exert a force of 192 N tangential to a 0.255 m radius 75.0 kg grindstone (a solid disk).…

A: Concept : Torque = r × F Torque = moment of inertia × angular momentum

Q: A pendulum consists of a rod of length 2 m and mass 5 kg with a solid sphere of mass 5 kg and radius…

Q: A horizontal force of P= 100 N is applied to the 330-kg reel of cable. The reel rests on rollers at…

Q: propeller is modeled as five identical uniform rods extending radially from its axis. The length and…

A: Length l = 0.705 m Mass m = 2.91 kg Angular speed = 553 rpm = 553 × 2π /60…

Q: In the figure here, a cylinder having a mass of 2.6 kg can rotate about its central axis through…

A: Solution:-Given thatF1=3.7 NF2=3.1 NF3=1.5 NF4=8.6 Nr=7.1 cm =0.071 mR=18 cm=0.18 mClockwise…

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: force F = (7i + 3j + 3k) N is applied to a point with position vector r = (6i + 3j + k) m. Find the…

A: Torue vector is given as the cross product of displacement vector and force vector.

Q: A flywheel of a motor weighs 640 lbs and has a radius of gyration of 4 ft. The motor develops a…

A: weight of the flywheel, W=640 lbs W=Mg=640 lbs g=32 ft/s2M=Wg=64032=20 lb radius of Gyration, K=4 ft…

Q: A wheel of radius R = 0.1m whose center is fixed on an axle has a string of length = 15m wrapped…

A: Radius of wheel: R = 0.1 m String length: l = 15 m Initial angular velocity: ωo = 0 Time: t = 1 s

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

In the figure here, a cylinder having a mass of 3.8 kg can rotate about its central axis through point
O. Forces are applied as shown: F1 = 1.1 N, F, = 8.3 N, F3 = 6.4 N, and F4 = 6.8 N. Also, r = 5.8 cm and
R = 13 cm. Taking the clockwise direction to be negative, find the angular acceleration of the
cylinder. (During the rotation, the forces maintain their same angles relative to the cylinder.)
R
Rotation
axis
Number
i
Unit
>

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 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

Suppose you exert a force of 207 N tangential to a 0.275 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N· m) is exerted? (Enter the magnitude.) N. m (b) What is the angular acceleration (in rad/s²) assuming negligible opposing friction? (Enter the magnitude.) |rad/s2 (c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 24.6 N exerted 1.25 cm from the axis? (Enter the magnitude.) rad/s2 Additional Materials O Reading
The masses and coordinates of four particles are as follows: 40 g, x = 3.0 cm, y = 1.0 cm; 30 g, x = 0.0 cm, y = 4.0 cm; 25 g, x = -3.0 cm, y = -3.0 cm, 30 g, x = -1.0 cm, y = 4.0 cm What is the rotational inertia of this collection with aspect to the x-axis (kg m2)? 1.22\times 10 - 4 kg*m^2.
In the figure here, a cylinder having a mass of 2.0 kg can rotate about its central axis through point O. Forces are applied as shown: F₁ = 4.8 N, F₂ = 4.9 N, F3 = 9.9 N, and F4 = 1.9 N. Also, r = 2.4 cm and R = 18 cm. Taking the clockwise direction to be negative, find the angular acceleration of the cylinder. (During the rotation, the forces maintain their same angles relative to the cylinder.) Number i -9.1 F₁ Rotation axis Unit rad/s^2 R 0 14
A hollow, spherical shell with mass9.7 kg rolls without slipping down a 61.7° slope. Find the acceleration (m/s?). *1=2/3MR2 9.8 = 9.8 m/s?
A propeller is modeled as five identical uniform rods extending radially from its axis. The length and mass of each rod are 0.875 m and 2.71 kg, respectively. When the propellor rotates at 519 rpm (revolutions per minute), what is its rotational kinetic energy ??
A solid cylinder of mass 4.6 kg and radius 0.6 m starts from rest at the top of a ramp, inclined 21°, and rolls to the bottom without slipping. (For a cylinder I = 0.5MR2) The upper end of the ramp is 7 m higher than the lower end. Find the linear velocity of the cylinder when it reaches the bottom of the ramp? (g = 9.8 m/s2)
In the figure, wheel A of radiusra = 13.2 cm is coupled by belt B to wheel C of radius rc = 26.2 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.17 rad/s². Find the time needed for wheel C to reach an angular speed of 142 rev/min, assuming the belt does not slip. (Hint: If the belt does not slip, the linear speeds at the two rims must be equal.) B Number i Units
A flywheel is rotating at an angular velocity of 8 rad/s. It slows down at a rate of 2 rad/s?. How many revolutions will the flywheel make before coming to a stop?
A disk of radius R = 10cm and mass m = 3kg spins horizontally at a rate of 10 revolutions per minute (RPMs) in the clockwise (CW) direction. A constant torque is applied to the disk, gradually slowing it to a stop after t = 1minute... Hint: The moment of inertia of a disk is given by 1 = 1 2 mR2. 1.a) ( What is the moment of inertia of the disk? 1.b) ( What is the angular acceleration, a, of the disk while it slows to a stop? I 1.c) What is the torque, I, applied to the disk in order to slow it down? Is it clockwise or counterclockwise? 2 DISA LG
The rotational inertia of a disk about its axis is 8.3kg. m². When a 3.2 kg weight is added to its rim, 9.7 m from the axis, the rotational inertia becomes: Answer:
In the figure, wheel A of radius rA = 8.29 cm is coupled by belt B to wheel C of radius rc = 25.3 cm. The angular speed of wheel A is increased from rest at a constant rate of 2.63 rad/s?. Find the time needed for wheel C to reach an angular speed of 66.1 rev/min, assuming the belt does not slip. (Hint: If the belt does not slip, the linear speeds at the two rims must be equal.) B Number i Units
A propeller is modeled as five identical uniform rods extending radially from its axis. The length and mass of each rod are 0.829 m and 2.71 kg, respectively. When the propellor rotates at 589 rpm (revolutions per minute), what is its rotational kinetic energy ??