1. What is the moment of inertia of a 2.5 kg long uniform rod withlength of 2.5 meters. The axis of rotation is located at the centerof the rod.2. An object has a mass of 150 grams is connected to one end ofthe roped with a length of 40-centimeters. What is the moment ofinertia of the object about the axis of rotation AB? Ignore therope's mass.11B3. The mass of each object is 200 grams, connected by a rope.The length of the rope is 50 cm. What is the moment of inertia ofthe object about the axis of rotation? Ignore the rope's mass.m.4. A 4-meter long uniform ladder weighing 200 N is leaningagainst the wall at an angle of 60 degrees along the horizontal.Calculate the force on the ladder exerted by the floor and the wall.5. Two girls are sitting on a 7-meter see-saw. Girl A weighs 200N and sits 3.5 m away from the fulcrum while Girl B weighs 400N. Calculate how far should Girl B sit from the fulcrum to balancethe see-saw. Neglect the mass of the see-saw.A

Answered: 1. What is the moment of inertia of a…

1. What is the moment of inertia of a 2.5 kg long uniform rod with length of 2.5 meters. The axis of rotation is located at the center of the rod.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

9. A figure skater with outstretched arms spins with an initial rotation rate of 1.0 rev every 1.2 s. She can increase her rotation speed by bringing her arms close to her body. Suppose her final rotation rate is 3.0 rev every 1.2 s. Find her moment of inertia with her arms close to her body if her moment of inertia with outstretched arms is 5.0 kg-m?. (Answer: I = 1.7 kg · m²)
1. The angular velocity of a motor is increased from 3,000 rad/min. to 4,000 rad/min in 12 seconds. (a) If the angular acceleration is constant, find its magnitude and (b) the total number of radians by the motor during this time.
1. An Olympic athlete competing in the hammer toss spins the 7.26 kg hammer in a circle having a radius of 2.15 m (this includes both the length of the massless cable attached to the hammer and the athlete's arms). If the angular speed of the hammer is 13.4 rad/s about the axis of rotation just before the athlete releases the hammer, what is the tension force in the cable attached to the hammer at this moment? Treat the hammer like it is a point mass at the end of a massless cable. 2. Your car has a mass of 1.30 x 103 kg. You get on Crondall Lane and are cruising along at 20.0 m/s and thinking about how you really should have walked across the bridge instead of contributing to global pollution. You look up to see that you are approaching the stoplight at Owings Mills Boulevard and it is red, so you slam on the brakes when you are 25.0 m away from the light. If your brakes provide a constant force of 8.90 x 103 N, do you stop before reaching the stoplight? If not, how fast are you…
2. A person is standing on a rotating platform with hands at his side. The rotation rate of the platform is 0.90 rev/s. The person then raises his arms to a horizontal position and the rotation rate decreases to 0.60 rev/s. Why does the rotation rate change? By what factor has the moment of inertia changed?
6. Two disks are rotating about the same axis. Disk A has a moment of inertia of 4.00 kg.m2 and an angular velocity of +6.80 rad/s. Disk B is rotating with an angular velocity of -11.8 rad/s. The two disks are then linked together without the aid of any external torques, so that they rotate as a single unit with an angular velocity of -2.50 rad/s. The axis of rotation for this unit is the same as that for the separate disks. What is the moment of inertia of disk B? kg.m2 kpl kp13 136 skp
1. The propeller of a World War II fighter plane is 2.2 m in diameter. (a) What is its angular velocity in radians per second if it spins at 1300 rev / min? W= rad/s (b) What is the linear speed of its tip at this angular velocity if the plane is stationary on the tarmac? m/s V= (c) What is the centripetal acceleration of the propeller tip under these conditions? Calculate it in meters per second squared ac= m/s² Compare the centripetal acceleration to the acceleration due to gravity g. Is the centripetal acceleration very large or very small compared to g? ac g
3. A rod with a mass of 10kg and a total length of 2 meters that can spin about an axis through its center ( I = ML2 ) receives a constant force of 5 N on one of its ends. As the rod spins, the 12 force will maintain the same strength and orientation i.e., angled at 60 degrees with respect to the rod. The rod is initially at rest. Total Length Axis 60 deg F, a. How many radians does the rod sweep through after a period of 10 seconds? b. What is the speed of a point on the end of the rod at that same moment?
1. A point on the outer rim of a hollow disk (I = mr2) with radius r and mass m rotates with a constant angular speed of ω. How far will the point travel (in meters) in 1 minute of rotation? Let w=11.5 rad/s and r=0.78m a. how many revolutions will the point experience during this time? b. What net torque is necessary to stop the disk in time t? Let t=7 sec and m =14kg
4. A playground toy has four seats, each 5.0 kg, attached to very light, 1.5 m long rods, as seen from above in the figure. If two children with masses of 15 kg and 20 kg, sit in seats opposite one another, what is the moment of inertia about the rotation axis? 1.5 m
11. A spinning disc starts from rest and reaches an angular velocity of wf = 620 rad/s in 20 seconds. What is the angular acceleration of the disc? At t = 20 s, for a point 0.05 m away from the center, what is the corresponding tangential velocity? c) Sketch a graph of a vs t from t=0 s to t = 20 s. a) b)
4. Two disks are rotating about the same axis. Disk A has a moment of inertia of 5.00 kg.m² and an angular velocity of +6.60 rad/s. Disk B is rotating with an angular velocity of –10.6 rad/s. The two disks are then linked together without the aid of any external torques, so that they rotate as a single unit with an angular velocity of -2.80 rad/s. The axis of rotation for this unit is the same as that for the separate disks. What is the moment of inertia of disk B? kg.m2 f60 s
1. Rotational Mechanics and the Atwood's Machine. Consider an Atwood's machine, with two different masses, m1=1.0 kg and m2=2.0 kg suspended from a uniform solid disk pulley with mass = 1.0 kg, by a string passing over the pulley. The pulley has radius r = 10cm and a moment of inertia about its axis of rotation. The string does not slip on the pulley when the masses are released from rest. a) Find the acceleration of the system. b) How does the mass of the pulley impact the acceleration of the system (i.e. would the acceleration be more, less, or equal if ignored)? 2.