What is the angular speed (in rad/s) of the rod and ball? What is the linear speed (in m/s) of the center of mass of the ball? The device shown in the figure consists of a thin rod of length \( \ell = 23.5 \) cm and mass \( m = 1.20 \) kg, with a solid ball of diameter \( d = 10.0 \) cm and mass \( M = 2.00 \) kg attached to its top. The device is free to pivot about a frictionless axle through the bottom of the rod. The device is initially vertical and at rest when it starts to rotate clockwise.**Diagram Explanation:**- The diagram illustrates a vertical setup with a thin rod marked with \( \ell \).- At the top of the rod, a solid ball is attached.- The diameter of the ball is indicated as \( d \).- An arrow next to the ball shows the direction of rotation as clockwise.- The system pivots around a point at the bottom of the rod, where an axle is depicted.

According to the conservation of energy, the initial energy of the system can be written as…

Answered: What is the angular speed (in rad/s) of…

Similar questions

A solid spherical ball starts from rest at an initial height of 1.7 m, and rolls down an incline. The ball's mass is 3.4 kg and its radius is 17.5 cm. What is the ball's final center of mass (translational) speed (in m/s)?
You throw a ball of mass 0.61 kg with speed 7.7 m/s at a cylinder of radius 0.22 m as shown. Theball hits the edge of the cylinder and sticks to it, and they spin about the cylinder’s central axis.What is the magnitude of the angular momentum of the ball about the center of the cylinder asthe ball approaches the cylinder?
7. A 0.25 kg bullet is fired with a velocity of 200 m/s into two spheres mounted on a shaft with a vertical axis of rotation (coming out of the page) the spheres rotate horizontally. Each sphere has a mass of 0.80 kg and can be treated as a point mass. The mass of the shaft can be ignored. The bullet hits one of the spheres at the angle shown and sticks to the sphere which starts at rest. 30° Axis Of Rotation a. Determine the linear momentum of the bullet. b. Determine the angular momentum of the bullet/spheres system after the bullet hits the sphere. (Remember, momentum is conserved so you can calculate the momentum of the system at any time as long as you include all of the pieces.) 0.50 m
Three point objects with masses ?1=2.1 kg, ?2=2.9 kg, and ?3=1.7 kg are arranged in the configuration shown in the figure. The distance to mass ?1 is ?1=22 cm and the distance to mass ?3 is ?3=42 cm. The distances are measured from the axis ?. What is the combined moment of inertia ? for the three point objects about the axis ? ?
- A subway train consisting of 3 cars moves on a straight track with a velocity of 1.1 meters per second. The mass of each car 3,119 kilograms. What is the total linear momentum of the train? Use kg m/s as unit. - A wind turbine has a moment of inertia of 1,265 kg m2. What is the angular momentum L of the turbine if its period of rotation is 3.16 seconds? Note, use "kg m2/s" (without the quotes) for the unit of the rotational momentum in your answer. - A 0.14 kg solid billiard ball with a radius of 0.1 m is rolling on a pool table with a speed of 1.12 m/s without slipping. Find the angular momentum of the ball. (unit in kg m2/s)
A uniform, thin, spherical shell of radius, R, and mass, m, is rolling without slipping or sliding on a level surface. If the center-of-mass velocity of the ball is vCM what is the total kinetic energy of the ball? Hint: 2/3 mR2
In an experiment a mass of 50.00gm is attached to string wrapped around the axle of flywheel and starting from rest, falls through a distance of 169.00cm in 3.12 seçonds. The diameter of the axle is 12.0cm. What is the acceleration of the falling mass? What is the angular acceleration of the flywheel? What is the tension in the string? What is the torque acting on the flywheel due to tension? What is the moment of inertia of the flywheel, neglect the friction?
What is the angular momentum of a 3.4-kg uniform cylindrical grinding wheel of radius 24 cm when rotating at 1400 rpm ? How much torque(in magnitude) is required to stop it in 6.0 s ? Express your answer using two significant figures
A disk of radius R, mass M, and moment of inertia I = (1/2)MR- rolls without slipping down an incline and onto a horizontal table. The disk then continues to the right and goes up a frictionless ramp. The disk starts at rest at a height h above the table, as shown . What is the speed of the center of mass of the disk when it reaches the bottom of the ramp? O A. V1/2gh OB. V5/3gh OC. 4/3 gh OD. 6/7gh O E. None of the above