Answered: A cylinder is rolling without slipping…

A cylinder is rolling without slipping up an inclined plane and slowing down. The VCOM is the linear velocity of the center of mass of the cylinder. The friction at the contact point P is

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 34P: A 0.2-kg particle is travelling along the line y=2.0m with a velocity 5.0 m/s. What is the angular...

See similar textbooks

Related questions

Q: A massless, frictionless merry-go-round of radius R has one child of mass M sitting on the outer…

A: Since no net torque acts on the system, according to the principle of conservation of angular…

Q: is the total kinetic energy of

A: e

Q: A solid steel ball with mass = 1.0 kg and radius 0.25 m is held at rest on top of a ramp at height h…

Q: A nonrotating cylindrical disk of moment of inertia, I, is dropped onto an identical disk rotating…

A: Given data The moment of inertia of the cylindrical disk is I. The angular speed of the disk is…

Q: Consider a hollow drainage concrete cylinder of uniform mass density of 2,400 kg/m3 with lengthL=…

Q: Find the center of mass and Moment of inertia of a regular solid circular cone of height (b)

A: From the diagram we can say that , The height of the cone is along the positive z-axis and Height =…

Q: Discuss the conditions for the rotational equilibrium of a floating body.

A: Step 1Rotation is a circular movement of an object around a center of rotation.

Q: If the angular acceleration of a rigid body is zero, what is the functional form of the angular…

A: Write the expression for the relation between the angular acceleration and the angular velocity of a…

Q: If M = 8 kg, L = 2 m, and the mass of each connecting rod shown is negligible, what is the moment of…

Q: What constant torque should be applied to a disc of mass 10 kg and diamet 50 cm so that it acquires…

Q: A flywheel of mass 8 tonnes starts from rest, and gets up a speed of 180 r.p.m. in 3 minutes. Find…

Q: The precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4…

Q: A sphere of radius 0.2 m and a weight of 100 N is released with no initial velocity on the incline…

Q: Consider a bar of length 5.5 m, being acted on by three forces and constrained to rotate about its…

A: The free-body diagram of the rod.

Q: Find the net torque on the system if...

Q: Point P I'd on the rim of a wheel with a radius of 2 m. At time t=0, the wheel is at rest, and P is…

A: The formula for the tangential acceleration is: The direction of the angular acceleration is along…

Q: For rolling without slip, the acceration of a circular disk on an incline plane a=r(alpha) where…

A: When rolling occurs without slipping then the linear velocity of center of mass is, vcm=rω Here, r…

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

A: τ1=-aF=-5 cm1 m100 cm36 N=-1.8 N·m This torque produce anticlockwise rotation. It is taken as…

Q: In unit-vector notation, what is the net torque about the origin on a flea located at coordinates…

A: Given data: F1=6.42 N k^ F2=-4.93 N j^ Net force: F→=-4.93 N j^+6.42 N k^ Position vector:…

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

A: Refer to the figure below : The torque acting on a body about a point is given by the cross…

Q: In unit-vector notation, what is the net torque about the origin on a flea located at coordinates…

A: Required : The net torque.

Q: What if a solid cylinder of mass M = 3.50 kg, radius R = 2.18 cm, and length L = 2.7 cm, is rolling…

A: a) Initially we are given the equation,

Q: Four very lightweight disks of equal radii each have three identical heavy marbles glued to them as…

Q: What is the torque needed to increase the velocity of a revolving cylinder from 35 to 70 revolutions…

Q: The forces F 3F and 5F are applied to the rectangular plate, which can rotate freely around point O…

A: Given information: The force (F) = 10 N The value of (d) = 1 m

Q: A sanding disk with rotational inertia 5.0 x 10 kg-m? is attached to an electric drill whose motor…

A: rotational inertia = I = 5 X 10-3 Kg-m2 torque = 33 N-m

Q: What is the angular momentum of a solid disk at t=2.5s if its mass is 0.25kg, its radius is 4m, and…

A: The angular acceleration of the disk can be found as, Here, I, τ, and α represent the disk’s moment…

Q: Two weights of mass m and 4m are attached to the ends of a massless rod of length L. What is the…

A: Given : mass, m1 = m mass, m2 = 4m Length of the rod = L Then, length from center of…

Q: The cable drum has a mass of 795 kg with radius of gyration of 435 mm about its center O and is…

A: The solution is given below

Q: In unit-vector notation, what is the net torque about the origin on a flea located at coordinates…

A: The net force is,

Q: A wheel in the shape of a flat, heavy, uniform, solid disk is initially at rest at the top of an…

Q: For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes…

A: The moment of inertia of a rectangular plate about the axis perpendicular to the sheet and through…

Q: Prove that the time rate of change of angular momentum is equal to the torque acting on the system…

A: Consider the moment of inertia of the system is I and the angular speed is ω. Write the equation for…

Q: A pool ball is struck directly in its center so that it begins to slide across the table without…

Q: A plane is flying in a straight line at a velocity of v, relative to the ground, and the propeller…

Q: dm Po G° 1. Derive the angular momentum of a rigid body about P which is NOT the center of gravity

Q: For a particle moving under a force field, a): Is the torque about the force zero? b): Is the…

A: Part a For particle moving under a force field Is the torque about the force zero false…

Q: Find the center of mass and the moment of inertia of a regular solid round cone of height b

A: Height of the solid cone = b To find = center of mass and moment of inertia .

Q: What is the angular momentum of a 3.7-kg uniform cylindrical grinding wheel of radius 24 cm when…

Q: A man stands on a merry-go-round that is rotating at 2.5 rad/s. If the coefficient of static…

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 cylinder is rolling without slipping up an inclined plane and slowing down. The VCOM is the linear velocity of the center of mass of the
cylinder. The friction at the contact point P is

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

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 uniform sphere of mass m and radius R rolls without slipping down a plane at an angle θ from thehorizontal. Show that the acceleration along the slope of the center of mass is aCM = (5/7)g sin θ and that the force of static friction needed is fs = (2/7)mg sin θ. What minimum coefcient of friction µs is needed to satisfythe conditions of the problem?
The angular moomentum of a point with a mass of m, a velocity v, and position r is: L = mr x v. Prove that the rate of change of L, dL/dt is equal to the torque (T = r x F). F is the force on the point.
A wheel in the shape of a flat, heavy, uniform, solid disk is initially at rest at the top of an inclined plane of height 2.00 m when it begins to roll down the incline. If rolling and sliding friction are neglected, what is the linear velocity, in m/s, of the center-of-mass of the wheel when it reached the bottom of the incline?
One of the curators at the art museum is tilting a large cylinder backward. At what angle q will the cylinder of height h and radius r be in unstable equilibrium?
A certain gyroscope consists of a uniform disk with a 50 cm radius mounted at the center of an axle that is 11 cm long and of negligible mass.The axle is horizontal and supported at one end. If the spin rate is 1000 rev/min, what is the precession rate?
Prove that the time rate of change of angular momentum is equal to the torque acting on the system without using the differentiation concept.
Find the net torque on the wheel in the figure below about the axle through O, taking a = 11.0 cm and b = 29.0 cm. (Assume that the positive direction is counterclockwise.)
Which of the following statement/s is/are accurate? For non-uniform body, the center of gravity is at the geometric center. In equilibrium, the net moment of force at the center of gravity is zero. For uniform body, the center of gravity and centroid act on the same point. The center of gravity is always at the geometric center.
Show that: If a particle is subject to a central force only, then its angular momentum is conserved i.e. If V(r) = V(r), then dL/dt = 0.
Suppose that the coefficient of static friction ?s is large enough so that the annular disk rolls without slipping. What is the magnitude of the translational acceleration felt by the annular disk’s center of mass in the direction parallel to the slope?
The two balls are attached to the light rigid rod, which is suspended by a cord from the support above it. If the balls and rod, initially at rest, are struck with the force F = 11.5 lb, calculate the magnitudes of the corresponding acceleration of the mass center and the rate at which the angular velocity of the bar is changing.
Discuss the conditions for the rotational equilibrium of a floating body.