A conical vessel is spinning about the vertical axis at 180 rpm. Find the radius R for which the ...
Chapter D3, Problem D3/067 The small object is placed on the inner surface of the conical dish at the radius shown. If the coefficient of static friction between the object and the conical surface is 0.17, for what range of angular velocities w about the vertical axis will the block remain on the dish without slipping? Assume that speed changes are made slowly so that any angular acceleration may be neglected. +0.40 m - m TITEL 22 Answer: 0 rad/s)...
An amusement park ride has a vertical cylinder with an inner radius of 4 m, which rotates about its vertical axis. Riders stand inside against the carpeted surface and rotate with the cylinder while it accelerates to its full angular velocity. At that point the floor drops away and friction between the riders and the cylinder prevents them from sliding downward. The coefficient of static friction between the riders and the cylinder is 0.91. What minimum angular velocity in radians/second...
A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure below). Let the rotational inertia of the sphere be A massless cord passes around the equator of the sphere, over a pulley with rotational inertial and radius r, and is attached to a small object of mass m. There is no friction on the pulley's axle and the cord does not slip on the pulley. At 1 = 0, the mass m has speed...
A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure below). Let the rotational inertia of the sphere behe.A massless cord passes around the equator of the sphere, overs pulley with rotational inertial and radius r, and is attached to a small object of mass m. There is no friction on the pulley's axle and the cord does not slip on the pulley. Att 0, the mass m has speed Vo The system is...
An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that a person inside is stuck to the wall and does not slide down when the floor drops away. The acceleration of gravity is 9.8 m/s 2 . Given g = 9.8 m/s 2 , the coefficient µ = 0.564 of static friction between a person and the wall, and the radius of the cylinder R = 4.9 m. For simplicity, neglect the...
An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that a person inside is stuck to the wall and does not slide down when the floor drops away. The acceleration of gravity is 9.8 m/s2. Given g = 9.8 m/s2, the coefficient μ = 0.569 of static friction between a person and the wall, and the radius of the cylinder R = 5.4 m. For simplicity, neglect the person’s depth and assume...
A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure below). Let the rotational inertia of the sphere be Isphere. A massless cord passes around the equator of the sphere, over a pulley with rotational inertia I pulley and radius r, and is attached to a small object of mass m. There is no friction on the pulley's axle and the cord does not slip on the pulley. At t = 0, the mass...
7. A puck is placed in the inner surface of a sphere of radius R = 2.75 m. Find the angular speed of the sphere spinning with respect to its vertical axis for the puck to remain at rest a distance h=1.65 m below the sphere's center. The coefficient of static friction between the puck and the surface of the sphere is .5.
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,...
and v ωセ carnival ride consists of a large cylinder of radius R - 5.00 m with its axis vertical. It is rotated about the m - 80.0 kg, stands on a platform with his back up against the wall of the cylinder. When the cylinder figures below e axis completing one rotation every 3.00 seconds. During the rotation, a person with a mass tuto speed the platform drops away and the person remain suspended up against the wall. See...