A very thin circular hoop of mass(m) and radius(r) rolls without slipping down a ramp inclined at an angle(theta) wit...
A circular hoop of mass m, radius r, and infinitesimal thickness rolls without slipping down a ramp inclined at an angle θ with the horizontal. (Intro 1figure)part a)What is the acceleration of the center of the hoop?Express the acceleration in terms of physical constants and all or some of the quantities m,r,and θ.part b)What is the minimum coefficient of (static)friction needed for the hoop to roll without slipping? Note that it is static and not kinetic friction that is relevant here,...
Scenario A thin hoop of mass M and radius R is released from rest at the top of a ramp of length L as shown at right. The ramp makes an angle with respect to a horizontal tabletop to which the ramp is fixed. The table top is height H above the floor. Assume that the hoop rolls without slipping down the ramp and across the table. Express all algebraic answers in terms of given quantities and fundamental constants. PARTC:...
A uniform drum of radius R and mass M rolls without slipping down a plane inclined at angle . Find its acceleration along the plane (translational acceleration). The moment of inertia of the drum about its axis through the center is I = MR^2/2 .
A thin hoop of radius r = 0.82 m and mass M = 7.3 kg rolls without slipping across a horizontal floor with a velocity v = 1.1 m/s. It then rolls up an incline with an angle of inclination theta = 44 degrees. a) What is the maximum height h reached by the hoop before rolling back down the incline? b) Now, suppose a uniform solid sphere is used instead of a hoop. Use the same values of r,...
A thin, circular hoop of mass m and radius R rolls down a parabolic path POR from height without slipping (assume R*) as shown in the figure below. Path PQ is rough (and so the shell will roll on that path), whereas path QR is smooth, or frictionless (so the shell will only slide, not roll, In this region). Determine the heighth above point reached by the shell on path QR. (Use the following as necessary m, 9. Hand R.)...
A uniform hollow spherical shell of mass M and radius R rolls without slipping down an inclined plane. The plane has a length of L and is at an angle (theta). What is its speed at the bottom?
3. A very thin circular hoop of mass m and radius r is made to roll, without slipping, down a ramp with an angle of inclination (with respect to the horizontal), as shown in the figure below. See Figure 3. Note: The moment of inertia of the thin circular hoop is given by: I houp = mra Consider a system consisting of a ladder with a painter climbing said ladder. The ladder has a length 1 = 5,00 meters and...
A hoop of mass M = 2 kg and radius R = 0.4 m rolls without slipping down a hill, as shown in the figure. The lack of slipping means that when the center of mass of the hoop has speed v, the tangential speed of the hoop relative to the center of mass is also equal to VCM, since in that case the instantaneous speed is zero for the part of the hoop that is in contact with the...
A ramp is inclined at an angle of 34° with the horizontal. You release a thin spherical shell of radius 0.15 m and it rolls without slipping, down the ramp for a distance L. If the mass of the shell is 1.5 kg, and its angular speed when it reaches the end of the ramp is 28.8 rad/s, what is the value of L, in meters?
A ramp is inclined at an angle of 37.0° with the horizontal. You release a thin spherical shell of radius 0.550 m and it rolls without slipping, down the ramp for a distance L. If the mass of the shell is 1.50 kg, and its angular speed when it reaches the end of the ramp is 28.8 rad/s, what is the value of L? m