A turntable has a radius R and mass M (considered as a disk) and is rotating at an angular velocity W 0 about a frictionless vertical axis. A piece of clay is tossed onto the turntable and sticks d from the rotational axis. The clay hits with horizontal vel ocity component vc at right angle to the turntable’s radius, and in a direction that opposes the rotation. After the clay lands, the turntable has slowed to angular velocity W1 . A) Find the mass of the clay mc . B) How much energy is lost during the collisi on process (i.e., due to dissipation and deformation of the clay)?
A turntable has a radius R and mass M (considered as a disk) and is rotating...
A particular horizontal turntable can be modeled as a uniform disk with a mass of 180 g and a radius of 30.0 cm that rotates without friction about a vertical axis passing through its center. The angular speed of the turntable is 2.00 rad/s. A ball of clay, with a mass of 40.0 g, is dropped from a height of 35.0 cm above the turntable. It hits the turntable at a distance of 15.0 cm from the middle, and sticks...
Consider a turntable to be a circular disk of moment of inertia 0.142 kg⋅m2 rotating at a constant angular velocity 4.80 rad/s2 around an axis through the center and perpendicular to the plane of the disk (the disk's "primary axis of symmetry"). The axis of the disk is vertical and the disk is supported by frictionless bearings. The motor of the turntable is off, so there is no external torque being applied to the axis. Another disk (a record) is...
A disk of mass 5 kg and radius 1 m is rotating with an angular velocity of ?0 = 11 rad/s . A lump of clay of mass 3 kg is dropped onto the disk at a radius of 0.5 m , sticking to the disk. What is the final angular velocity of the disk? (Idisk = MR2/2 )
specify equations used please
Part I: A disk of mass M and radius R is rotating with some angular velocity o, about a frictionless axis. A non rotating solid hemisphere of radius R is to be dropped from above and it sticks to the lower disk so that the new angular velocity is 1/3 0.. What is the mass of the hemisphere in terms of M?
A turntable with a rotational inertia 0.215 kg middot m^2 is rotating at 3.35 rad/s. Suddenly, a disk with rotational inertia 0.106 kg times m^2 is dropped onto the turntable with its center on the rotation axis. Assuming no outside forces act, what's the common rotational velocity of the turntable and disk?
A disk of mass M and radius R is rotating with an angular velocity ω. A rod also of mass M but length 2R is initially not rotating. It is dropped vertically onto the rotating disk. After the collision, the disk and rod rotate together with an angular velocity of? What fraction of the initial kinetic energy was lost in the collision?
A uniform disk has a mass of 3.7 kg and a radius of 0.40 m. The disk is mounted on frictionless bearings and is used as a turntable. The turntable is initially rotating at 30 rpm. A thin - walled hollow cylinder has the same mass and radius as the disk. It is released from rest, just above the turntable, and on the same vertical axis. The hollow cylinder slips on the turntable for 0.20 s until it acquires the...
A uniform cylindrical turntable of radius 1.80 m and mass 26.0 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 4π rad/s. The fixed turntable bearing is frictionless. A lump of clay of mass 2.49 kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to the turntable at a point 1.70 m to the east of the axis. (a) Find the final angular speed of the clay...
A large wooden turntable in the shape of a flat uniform disk has a radius of 2.00 and a total mass of 110 . The turntable is initially rotating at 4.00 about a vertical axis through its center. Suddenly, a 80.0- parachutist makes a soft landing on the turntable at a point near the outer edge Find the angular speed of the turntable after the parachutist lands. (Assume that you can treat the parachutist as a particle.) Compute the kinetic...
A gramophone record consists of a uniform circular disk of radius R and total mass M with a hole punched through it's center with a radius r. a) Show that the moment of inertia of the record about the perpendicular axis passing through it's center is 1/2 M(R^2 + r^2). b)A gramophone record having a mass of m=100g, radius =15cm and hole of radius 3cm is rotating freely on a turntable at 33 revolutions per minute with no friction. A...