When an object is rolling without slipping, the rolling friction force is much less than the friction force when the object is sliding: a silver dollar will roll on its edge much farther than it will slide on its flat side (sec Section 5.3). When an object is rolling without slipping on a horizontal surface, we can approximate the friction force to be zero, so that a x and α z are approximately zero and v x and ω z . are approximately constant. Rolling without slipping means v x = rω z and α x = rα z . If an object is set in motion on a surface without these equalities, sliding (kinetic) friction will act on the object as it slips until rolling without slipping is established. A solid cylinder with mass M and radius R , rotating with angular speed ω 0 about an axis through its center, is set on a horizontal surface for which the kinetic friction coefficient is μ k .(a) Draw a free-body diagram for the cylinder on the surface. Think carefully about the direction of the kinetic friction force on the cylinder. Calculate the accelerations a x of the center of mass and α z of rotation about the center of mass, (b) The cylinder is initially slipping completely, so initially ω z = ω 0 but v x = 0. Rolling without slipping sets in when v x = rω z . Calculate the distance the cylinder rolls before slipping stops, (c) Calculate the work done by the friction force on the cylinder as it moves from where it was set down to where it begins to roll without slipping.
When an object is rolling without slipping, the rolling friction force is much less than the friction force when the object is sliding: a silver dollar will roll on its edge much farther than it will slide on its flat side (sec Section 5.3). When an object is rolling without slipping on a horizontal surface, we can approximate the friction force to be zero, so that a x and α z are approximately zero and v x and ω z . are approximately constant. Rolling without slipping means v x = rω z and α x = rα z . If an object is set in motion on a surface without these equalities, sliding (kinetic) friction will act on the object as it slips until rolling without slipping is established. A solid cylinder with mass M and radius R , rotating with angular speed ω 0 about an axis through its center, is set on a horizontal surface for which the kinetic friction coefficient is μ k .(a) Draw a free-body diagram for the cylinder on the surface. Think carefully about the direction of the kinetic friction force on the cylinder. Calculate the accelerations a x of the center of mass and α z of rotation about the center of mass, (b) The cylinder is initially slipping completely, so initially ω z = ω 0 but v x = 0. Rolling without slipping sets in when v x = rω z . Calculate the distance the cylinder rolls before slipping stops, (c) Calculate the work done by the friction force on the cylinder as it moves from where it was set down to where it begins to roll without slipping.
When an object is rolling without slipping, the rolling friction force is much less than the friction force when the object is sliding: a silver dollar will roll on its edge much farther than it will slide on its flat side (sec Section 5.3). When an object is rolling without slipping on a horizontal surface, we can approximate the friction force to be zero, so that ax and αz are approximately zero and vx and ωz. are approximately constant. Rolling without slipping means vx = rωz and αx= rαz. If an object is set in motion on a surface without these equalities, sliding (kinetic) friction will act on the object as it slips until rolling without slipping is established. A solid cylinder with mass M and radius R, rotating with angular speed ω0 about an axis through its center, is set on a horizontal surface for which the kinetic friction coefficient is μk.(a) Draw a free-body diagram for the cylinder on the surface. Think carefully about the direction of the kinetic friction force on the cylinder. Calculate the accelerations ax of the center of mass and αz of rotation about the center of mass, (b) The cylinder is initially slipping completely, so initially ωz = ω0 but vx = 0. Rolling without slipping sets in when vx = rωz. Calculate the distance the cylinder rolls before slipping stops, (c) Calculate the work done by the friction force on the cylinder as it moves from where it was set down to where it begins to roll without slipping.
Two bugs, Buzz and Crunchy, are siting on a spinning disk on a horizontal plane. Buzz is sitting halfway and Crunchy is sitting at the outer edge as shown. The radius of the disk
is 0.80 m and the disk is rotating with an angular speed of 38 rpm. The coefficient of friction between the bugs and the disk are us = 0.80 and uk = 0.60. What is the magnitude
of the friction force on Buzz, in Newtons? Buzz has a mass of 2.0 kg (I know, a big bug!).
Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your
answer, it is already given in the question statement.
Crunchy
A 65 kg student is in a car traveling at 25 m/s on a hill of radius 110 m. When the car is at the top of the hill, what upward force does the seat exert on the student?
A 4.2 m long uniform post is supported by a cable having a tension of 1 700 N. What is the mass of this post?
Answer must be in scientific notation with SI units that do not have prefixes except for kg. (m/s not cm/s). Answer must be in standard form scientific notation. All angles are to be calculated to the nearest 0.1 deg (tenth of a degree).
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.