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A meter stick is held vertically with one end on the floor and is then allowed to fall. Find the speed of the other end just before it hits the floor, assuming that the end on the floor does not slip. (Hint: Consider the stick to be a thin rod and use the conservation of energy principle.)
In doing this problem, I do not understand what the axis of rotation is and do not understand how to use the parallel-axis theorem.
Please explicitly state the axis of rotation. Also please tell me how you find the moment of inertia of the center of mass and how to explicitly use the parallel axis theorem for this.
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- The rotor of an electric motor has rotational inertia Im about its central axis. The motor is used to change the orientation of the space probe in which it is mounted. The motor axis is mounted along the central axis of the probe; the probe has rotational inertia I, about this axis. Calculate the number of revolutions of the rotor required to turn the probe through angle e (measured in radians) about its central axis. State your answer in terms of the given variables, using TT when appropriate.Calculate the angular velocity when the person reaches the edge. A person of mass 72 kg stands at the center of a rotating merry-go-round platform of radius 3.0 m and moment of inertia 920 kg · m² . The platform rotates without friction with angular velocity 2.1 rad/s. The Express your answer using two significant figures. w = 1.2 rad/s person walks radially to the edge of the platform. Submit Previous Answers Correct Important: If you use this answer in later parts, use the full unrounded value in your calculations. Part B Calculate the rotational kinetic energy of the system of platform plus person before and after the person's walk. Express your answers using two significant figures. Enter your answers numerically separated by a comma. Ην ΑΣφ ? KE;, KE = 2000,1100 J %3D Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining PearsonA rigid body is made of three identical rods, each with length L 0.775 m, fastened together in the form of a letter H, as in the figure below. The body is free to rotate about a horizontal axis that runs along the length of one of the legs of the H. The body is allowed to fall from rest from a position in which the plane of the H is horizontal. What is the angular speed of the body when the plane of the H is vertical? rad/s L L L PERA
- Please please answer everything super fastI want to spin several 2.5kg object. I have 157J to use in spinning each object. Find and compare the angular speeds of the following objects. A hoop with a diameter of 3m about its COM. A disk with a diameter of 3m about its COM. A rod with a length of 3m about one end. A small mass at the end of a 3m string.Can you show me how to solve this?
- Problem 7 : A sphere of radius r0 = 24.0 cm and mass m = 1.20kg starts from rest and rolls without slipping down a 33.0∘ incline that is 15.0 m long. Part A Calculate its translational speed and rotational speed when it reaches the bottom. Does the answers depend on mass or radius of the ball? Part C What is the ratio of translational to rotational kinetic energy at the bottom?(Ktr/Krot=?) Does the answer depend on mass or radius of the ball?I couldn’t solve this problem during lecture. Please help me out! Thank you. Answer both boxes or do not attempt please.estion 1 of 7 > A uniform, solid cylinder of radius 7.00 cm and mass 5.00 kg starts from rest at the top of an inclined plane that is 2.00 m long and tilted at an angle of 25.0° with the horizontal. The cylinder rolls without slipping down the ramp. What is the cylinder's speed u at the bottom of the ramp? 80 8 V= DII Question Source: Freedman College Physics 3e | Publisher: Macmillan F10 F11 m/s + delet
- The angular position of a rod varies as 20.0t2 radians from time t = 0 . The rod has two beads on it as shown in the following figure, one at 10 cm from the rotation axis and the other at 20 cm from the rotation axis. (a) What is the instantaneous angular velocity of the rod at t = 5 s? (b) What is the angular acceleration of the rod? (c) What are the tangential speeds of the beads at t = 5 s? (d) What are the tangential accelerations of the beads at t = 5 s? (e) What are the centripetal accelerations of the beads at t = 5 s?Due to the rotation of the forked rod, the ball in the figure shown travels around the slotted path, a portion of which is in the shape of a cardioid, r = 0.5(1 – cose)ft , where e is in radians. If the ball's velocity is v = 4ft/s and its acceleration is a = 30ft/s² at the instant 0 = 180°, determine the angular velocity Ô and angular acceleration Ö of the fork. r = 0.5 (1- cos 0) ftA student gives a steady push to a ball at the end of a massless, rigid rod for 1 s, causing the ball to rotate clockwise in a horizontal circle as shown below. The rod’s pivot is frictionless. Sketch a graph of the ball’s angular velocity as a function of time for the first 3 s of the ball’s motion. You won’t be able to include numbers on the vertical axis, but your graph should have the correct sign and the correct shape