What is the minimum work required to make the cone rotate about its symmetry axis at 3 revolutions/second if it starts at rest and its mass is m .= 0.15kg with a radius of 4cm and height of 5cm.
What is the minimum work required to make the cone rotate about its symmetry axis at...
4. a) A solid truncated cone with smaller radius a and larger radius b, height h, and Determine the moment of inertia of the truncated cone in terms of a,b.p and central axis. 8 pts h when rotated about its b) A bullet of with a mass-m,is fired into the cone with a speed v, in the z direction. The bullet a +b above the central axis of the cone and lodges in the cone at the enters the cone...
A ball with radius R rotates about the axis of symmetry horizontal to the surface with angular speed wo. At an instant of time, the rotating ball is placed on a rough surface and gets a push at height h < R above the surface (see the figure), so that its center of mass starts moving with the linear velocity vo to the right. What should the initial angular speed wo be, so that after some time the center of...
1) What will be the speed of a solid sphere of mass M and radius R0 when it reaches the bottom of incline if it starts from rest at a vertical height of H and rolls without slipping? Compare to the case of an object sliding down with no rotation. (replace the variables with any number) 2) A bullet of mass m and v strikes and becomes imbedded at the edge of a cylinder of mass m and radius R0....
A circular disk of radius 0.1 m and mass 10 kg rotates about its symmetry axis at a rate of 200 rev/min. What is the angular momentum of the rotating disk in kg m2/s?
A wheel of radius 9.2 m starts from rest and rotates about its axis with constant angular acceleration. After 24.7 s have elapsed, it has rotated through 49 revolutions. a)What is the magnitude of the wheel's angular acceleration? b) What is the magnitude of its angular velocity after 24.7 s have elapsed? (ans for a is 1.01rad/s^2 and 24.9rad/s for b)
A motor rotates a horizontal cylinder, radius 0.50 m, about its axis of symmetry with constant power at 3.7 kW. A body attached to a rope around the cylinder thereby rises upwards at a uniform speed. Calculate the body mass if the cylinder speed is 30 rpm. (Answer 240 kg)
A solid cylinder is mounted above the ground with its axis of rotation oriented horizontally. A rope is wound around the cylinder and its free end is attached to a block of mass 76.0 kg that rests on a platform. The cylinder has a mass of 275 kg and a radius of 0.480 m. Assume that the cylinder can rotate about its axis without any friction and the rope is of negligible mass. The platform is suddenly removed from under...
T3-1: The 1.6-Mg space capsule shown is undergoing torque free motion. The radius of gyration about an axis passing through the axis of symmetry of the capsule is k, 1.2 m, and about any transverse axis passing through the center of mass G, kt 1.8. If the capsule has a known steady-state precession rate ψ of two revolutions per hour about the axis as drawn, determine the roll rate ф, the spin rate Ω_ωι, and the angular momentum vector. Then,...
(1 point) Consider a right circular solid cone S standing on its tip at the origin. The height of the cone is 3 and the radius of the top is 8. Find the centroid of the cone by following the steps below. Assume the density of the cone is constant 1. a. The mass of the cone is m Jls 1 d(x, y, 2) b. Let Q(2) be the disk that is the intersection of the cone with the horizontal...