Consider an object undergoing a rotationalmotion in the xy-plane about a fixed axis perpendicular to the planeof motion. Let O be a point in the xy-plane along the axis of rotationand P is a fixed point on the object. Due to the rotation of the object,point P will experience a circular motion with the radius of its circularpath r = 0.6 m.Assume that at some point in time, the angular acceleration of thepoint P is a = 5rad/s and an angle between the vectors of itstangential and net acceleration is ß = 30°.Determine the magnitude of the linear velocity (v) of point P andthe magnitude of its tangential (at), normal (an), and net (a)acceleration vectors.0anoOӨhAy

It can be related to the angular acceleration of point P by:

Answered: Consider an object undergoing a…

Similar questions

A child sits on a merry‑go‑round that has a diameter of 6.00 m. The child uses her legs to push the merry‑go‑round, making it go from rest to an angular speed of 18.0 rpm in a time of 37.0 s. What is the angular displacement Δθ of the merry‑go‑round, in units of radians (rad), during the time the child pushes the merry‑go‑round?
A hollow sphere (I=\frac{2}{3}mr^2I=32mr2) of radius R rotates about a diameter with an angular speed \omegaω. The sphere then collapses (magically) under the action of internal forces to a final radius of R/2 with no change in its mass. What is the final angular speed of the sphere?
A uniform thin spherical shell of mass M and radius R rotates about a vertical axis on frictionless bearings. A massless cord passes around the equator of the shell, over a pulley of rotational inertia I and radius r, and is attached to a small object of mass m. There is no friction on the pulley’s axle; the cord does not slip on the pulley. Determine the expression for the speed of the object after it falls a distance h from rest.
A flat uniform circular disk (radius = 6.22 m, mass=320 kg) is initially stationary. The disk is free to rotate in the horizontal plane about a frictionless axis perpendicular to the center of the disk. A 51.0-kg person, standing 2.32 m from the axis, begins to run on the disk in a circular path and has a tangential speed of 3.00 m/s relative to the ground. Find the resulting angular speed (in rad/s) of the disk.
Two thin rods of length L are rotating with the same angular speed ω (in rad/s) about axes that pass perpendicularly through one end. Rod A is massless but has a particle of mass 0.78 kg attached to its free end. Rod B has a mass of 0.78 kg, which is distributed uniformly along its length. The length of each rod is 0.71 m, and the angular speed is 4.8 rad/s. Find the kinetic energies of rod A with its attached particle and of rod B.
Question 6: The particle has a mass of 0.5 kg and is confined to move along the smooth horizontal slot due to the rotation of the arm OA. Determine the force of the rod on the particle and the normal force of the slot on the particle when 0 = 30°. The rod is rotating with an angular acceleration of Ö= 3 rad/s2 when e= 2 rad/s at 0 = 30°. Assume the particle contacts only one side of the slot at any instant. A ở = 2 rad/s 0.5 m
A vertical disk of radius r rolls around a horizontal track of radius R which, itself, rotates at a constant rate Ohm_0 about a vertical axis. The center of the disk moves at a constant angular rate phi_0 about the same vertical axis. Using the given cylindrical unit vector system, obtain the acceleration of point P on the edge of the disk when this point is at its highest position.
Two identical flywheels with radius 1.00 m are fixed in place on a table and spinning side-by-side, each spinning about their center as shown. Wheel A is initially spinning in the clockwise direction, and has initial angular velocity of wa0 = -16.0 rad/s, with O40 = 0 rad, and a constant angular acceleration a = 1.90 rad/s². Wheel B is initially spinning in the counter-clockwise direction, and has initial angular velocity Wgo = 16 rad/s, with 6g0 = 0 rad, and has angular acceleration a = –1.85 rad/s² – 5.33t rad/s³ + 1.02t² rad/st. string в sensor a) If assume the center of mass of the sensors is 5.00 cm inward from the outer edge of the wheel, then what is the net translational acceleration acting on the sensor attached to wheel B at t-6.00 s? What angle does this acceleration vector make with the radial direction?
A bicycle wheel has radius R. Let P be a point on the spoke of a wheel at a distance dd from the center of the wheel. The wheel begins to roll to the right along the x-axis. The curve traced out by P is given by the following parametric equations:x(θ)=11θ-7sin(θ)y(θ)=11-7cos(θ)R=d=