M, a solid cylinder (M=2.27 kg, R=0.131 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.750 kg mass, i.e., F = 7.357 N. Calculate the angular acceleration of the cylinder. R M F

M, a solid cylinder (M=2.27 kg, R=0.131 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.750 kg mass, i.e., F = 7.357 N. Calculate the angular acceleration of the cylinder. R M F

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter8: Rotational Equilibrium And Rotational Dynamics

Section: Chapter Questions

Problem 35P: A rope of negligible mass is wrapped around a 225 kg solid cylinder of radius 0.400 m. The cylinder...

See similar textbooks

Related questions

Q: 6) A car travels 120 Km at 80 Km/h and 70 Km at 100 Km/h. What is the average speed of the car? A)…

Q: Three charges are situated at corners of a rectangle as in the figure below. How much work must an…

Q: A 5-kg block slides a distance d = 6 m down a rough incline as in the figure with 0 = 49° and v₁ =…

Q: rojected 2043 population is million nd to one decimal place as needed)

Q: bring Hint 1 In the following figure, the horizontal surface on which this block slides is…

A: Acceleration of the block is 5.69 m/s2

Q: a) A magnetic field B = a sin(by)eb Ê is produced by and electric current, where a and b are…

Q: A point charge q₁ = 9.1 μC is held fixed at origin. A second point charge q₂ = -0.42 µC and a mass…

Q: 3) A meter stick is used as a simple pendulum with a 1.5 kg mass attached at its end. Calculate the…

A: mass = m = 1.5 kg length of pendulum = l = 1m

Q: In the figure battery 1 has emf 81 = 23.0 V and internal resistance r₁ = 0.0172 and battery 2 has…

A: Given: E1 = 23 v r1 = 0.017 Ω E2 = 23 v r2 = 0.012 Ω External…

Q: In late January 2018, Tropical cyclone Gene swept over Fiji. At its location north east of Rakiraki…

A: Tropical cyclone Gene passed across Fiji in late January 2018. Its location, 17°21's, 178°18'E, was…

Q: A loop is placed near a current carrying wire as shown in the figure. I theexpertta.com Which of the…

A: According to Faraday law we know that the direction of induced current is such that it always appose…

Q: 2. A 0.6-kg ball is attached to a cord and spun in can withstand is 60 N. a. What is the maximum…

A: We know , the tension force here is acting as centripetal force: i.e. T=mv2r=0.6×v21.2=60 N…

Q: right at 0.8c, where c is the speed of light. It collides with another brick of mass 2kg which is at…

Q: ergy 1.20 keV circles in a plane per- bendicular to a uniform magnetic Field. The orbit radius is…

Q: A student needs to calculate the orbital periods for various satellites, of mass, m, and orbital…

Q: equilibrium displacement

Q: You have two identical cars, both of mass 1,542 kg. The first one is moving to the left with an…

A: Given data: Two identical cars m1 = m2 = 1542 kg Initial velocity of car 1 (u1) = -11.9 m/s Initial…

Q: A) is incorrect thats not the radius of the curvature

A: If image is formed behind the mirror then it is virtual and erect.

Q: A frictionless roller coaster cart is moving at 3.4 m/s when it is 46 m above the ground. It coasts…

Q: Photoelectrons from a metal with a work function of 2.74 eV are ejected by photons with a wavelength…

A: work function (w) = 2.74 eV wavelength of incident photons = 415 nm

Q: 6. A ceiling fan turns at a rate of 20 RPM what is its speed in radians per second, and the speed of…

Q: 5. Two cars of constant speeds are travelling on a quarter circular curve. If A = 72 kph [20.0 m/s]…

Q: (10%) Problem 9: Capacitors C₁ and C₂ are connected, as shown, with voltage source Vo. Let C₁ =3.5…

Q: Why must an object at rest have either no force or a minimum of two forces acting on it?

A: An object is at rest. It must have either no force or minimum of two forces acting on it. Let's…

Q: thermal energy is needed to change 1

Q: Two masses are connected by a light string running over a light pulley of negligible friction, as…

Q: A skater of mass m standing on ice throws a stone of mass M with speed v in a horizontal direction.…

A: mass of skater = m mass of stone = M speed with which the stone is thrown = v

Q: A parallel-plate capacitor with no dielectric is made from two plates separated by 2.25 x 10-³ m.…

Q: A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually…

Q: A 8.58-g bullet is moving horizontally with a velocity of +366 m/s, where the sign + indicates that…

Q: In projectile motion, the velocity in the vertical direction O is constant varies with air…

A: Answer is determined by the effect of gravity

Q: the solution is worng

Q: In the figure a 15 V battery is connected across capacitors of capacitances C₁-C6-5.0 μF and…

Q: 6. Calculate the latent heat of fusion for 2.40 kg of gold as it changes from a molten liquid into a…

A: Given data, Mass of gold M=2.4 kg

Q: Two carts have the same mass. Both carts start at rest and are pushed until one cart is going two…

A: The work energy theorem states that the work done by the net force on a body is equal to change in…

Q: Six identical vertical metal bars start at the positions shown below and move at constant velocities…

A: Speed of identical metals bars are different in different cases Since the metal bars are identical ,…

Q: A thin rod of length 2.55 m and mass 12.7 kg is rotated at an angular speed of 4.20 rad/s around an…

A: Given Length of rod = L = 2.55 m mass of rod = m = 12.7 kg angular speed of rod = 4.20 rad/s We have…

Q: No-slip Frictionless The ball is a solid sphere of radius 4.0cm and mass 0.14kg. the half-pipe has…

Q: The figure shows a device that can be used to measure the speed of a bullet. The device consists of…

Q: 1. What is the shape of Car One’s slope? Why? 2. What is the slope of Car Two (numerical answer)?…

A: 1. Slope=vf-vitf-ti=awe can write slope in this form as the line is straight or is linear:that is…

Q: A skier of mass m is sliding down a snowy slope that is inclined at an angle ∅ above the horizontal.…

A: Given, The mass of skier is m, The angle of inclination of the snowy slope, ϕ

Q: wo identical charges, each 8.45x10-5 coulombs are separated by 0.25 meters. What is the force of…

Q: A model rocket is constructed with a motor that can provide a total impulse of 21.0 N-s. The mass of…

Q: A 14.4 g wire of length 89.6 cm is suspended by a pair of flexible leads in a uniform magnetic field…

Q: diverging lens has a focal length of magnitude 20.8 cm. (a) Locate the images for each of the…

Q: A rubber ball (4 kg) falls from a height of 20 m and collides elastically with the floor. What is…

A: The law of conservation of energy states that the total energy of the rubber ball remains constant.

Q: A cart filled with sand rolls at a speed of vcart = 1.4 m/s along a horizontal path without…

Q: 1. The rocket sled shown in the figure accelerates to the right at a rate of 49 m/s². Its passenger…

Q: A 14-cm-diameter circular loop of wire is placed in a 1.11-T magnetic field. t Y Part A When the…

Q: 9. A grindstone in the shape of a solid disk with diameter 0.520 m and a mass of 50.0 kg is rotating…

Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

M, a solid cylinder (M=2.27 kg, R=0.131 m)
pivots on a thin, fixed, frictionless bearing. A
string wrapped around the cylinder pulls
downward with a force F which equals the
weight of a 0.750 kg mass, i.e., F = 7.357 N.
Calculate the angular acceleration of the
cylinder.
R
M
F

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

VIEW

Step 2

VIEW

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

Suppose you exert a force of 180 N tangential to a 0.280-m-radius, 75.0-kg grindstone (a solid disk). (a) What torque is exerted? (b) What is the angular acceleration assuming negligible opposing friction? (c) What is the angular acceleration if there is an opposing frictional force of 20.0 N exerted 1.50 cm from the axis?
A baseball catcher extends his arm straight up to catch a fast ball with a speed of 40 m/s. The baseball is 0.145 kg and the catcher’s arm length is 0.5 m and mass 4.0 kg. (a) What is the angular velocity of the arm immediately after catching the ball as measured from the arm socket? (b) What is the torque applied if the catcher stops the rotation of his arm 0.3 s after catching the ball?
Find the net torque on the wheel in Figure P10.23 about the axle through O, taking a = 10.0 cm and b = 25.0 cm. Figure P10.23
With the aid of a string, a gyroscope is accelerated from rest to 32 rad/s in 0.40 s under a constant angular acceleration. (a) What is its angular acceleration in rad/s2 ? (b) How many revolutions does it go through in the process?
A bug of mass 0.020 kg is at rest on the edge of a solid cylindrical disk (M=0.10kg,R=0.10m) rotating in a horizontal plane around the vertical axis through its center. The disk is rotating at 10.0 rad/s. The bug crawls to the center of the disk. (a) What is the new angular velocity of the disk? (b) What is the change in the kinetic energy of the system? (c) If the bug crawls back to the outer edge of the disk, what is the angular velocity of the disk then? (d) What is the new kinetic energy of the system? (e) What is the cause of the increase and decrease of kinetic energy?
Suppose when Earth was created, it was not rotating. However, after the application of a uniform torque after 6 days, it was rotating at 1 rev/day. (a) What was the angular acceleration during the 6 days? (b) What torque was applied to Earth during this period? (c) What force tangent to Earth at its equator would produce this torque?
A rope of negligible mass is wrapped around a 225 kg solid cylinder of radius 0.400 m. The cylinder is suspended several meters off the ground with its axis oriented horizontally, and turns on that axis without friction, (a) If a 75.0-kg man takes hold of the free end of the rope and falls under the force of gravity, what is his acceleration? (b) What is the angular acceleration of the cylinder? (c) if the mass of the rope were not neglected, what would happen to the angular acceleration of the cylinder as the man falls?
A wheel is rotating about a fixed axis with constant angular acceleration 3 rad/s2. At different moments, its angular speed is 2 rad/s, 0. and +2 rad/s. For a point on the rim of the wheel, consider at these moments the magnitude of the tangential component of acceleration and the magnitude of the radial component of acceleration. Rank the following five items from largest to smallest: (a) |at| when = 2 rad/s, (b)|ar| when = 2 rad/s, (c)|ar| when = 0, (d) |at| when = 2 rad/s, and (e) |ar| when = 2 rad/s. If two items are equal, show them as equal in your ranking. If a quantity is equal to zero, show that fact in your ranking.
Integrated Concepts An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What is its angular acceleration in rad/s2? (b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation? (c) What is the radial acceleration in m/s2 and multiples of g of this point at full rpm?
A solid aluminum sphere of radius R has moment of inertia I about an axis through its center. Will the moment of inertia about a central axis of a solid aluminum sphere of radius 2Rbe (a) 2I, (b) 4I, (c) 8I. (d) 16I. or (e) 32I?
The angular speed of a wheel is given by (t) = 72.5 rad/s + (9.34 rad /s2) t. a. Is the wheels angular acceleration constant? Explain. b. Find an expression for the angular acceleration.
A flywheel (l=50kgm2) starting from rest acquires an angular velocity of 200.0 rad/s while subject to a constant torque from a motor for 5 s. (a) What is the angular acceleration of the flywhell? (b) What is the magnitude of the torque?