A bowling ball rolls up a ramp 0.82 m high without slipping to storage. It has an initial velocity of its center of mass of 3.5 m/s. What is the velocity at the top of the ramp? Center of Mass Moment of Inertia of the sphere I = MR
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- A disk initially at rest is fixed to a vertical axis of rotation and a 40 kg child is standing on the disk initially at rest 0.5 meters away from the axis of rotation. The rotational inertia of the disk is 50 kgm2. The boy pushes and jumps off the disk and the disk begins to rotate at 0.5 rad/s. Calculate the velocity of the child as they push off the disk. (The rotational inertia of the boy is mr2)250 m/s 140 m/s Pivot A uniform stick 1.0 m long with a total mass of 250g pivoted at its center. A 8.0-g bullet is shot through the stick midway between the pivot and one end. The bullet approaches 250 m/s and leaves at 145 m/s. With what angular speed is the stick spinning after the collision?Three point objects with masses ?1=2.6 kg, ?2=4.0 kg,and ?3=0.90 kg are arranged in the configuration shown in the figure. The distance to mass ?1 is ?1=25 cm and the distance to mass ?3 is ?3=41 cm. The distances are measured from the axis ?. What is the combined moment of inertia ? for the three point objects about the axis ? ?
- A disk initially at rest is fixed to a vertical axis of rotation and a 40 kg child is standing on the disk initially at rest 0.5 meters away from the axis of rotation. The rotational inertia of the disk is 50 kgm2. The boy pushes and jumps off the disk and the disk begins to rotate at 0.5 rad/s. Calculate the linear velocity of the child as they push off the disk. (The rotational inertia of the boy is mr2)A uniform solid cylindrical log begins rolling without slipping down a ramp that rises 28.0° abovethe horizontal. After it has rolled 4.20 m along the ramp, what is the magnitude of the linearacceleration of its center of mass?A) 4.60 m/s2 B) 3.07 m/s2 C) 9.80 m/s2 D) 3.29 m/s2 E) 2.30 m/s2In the figure below, what is the moment of inertia of the system about the y-axis if m = 2.0 kg and a = 1.0 m? Assume that the connecting sticks are massless. * a a a a 4.0 kg-m^2. 4.8 kg-m^2. 9.6 kg-m^2. 10.3 kg-m^2. 12.0 kg-m^2.
- Physics Angular MotionA 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 aboveA disk initially at rest is fixed to a vertical axis of rotation and a 40 kg child is standing on the disk initially at rest 0.5 meters away from the axis of rotation. The rotational inertia of the disk is 50 kgm2. The boy pushes and jumps off the disk and the disk begins to rotate at 0.5 rad/s. Calculate the velocity of the child as they push off the disk. (The rotational inertia of the boy is mr2)