79. Two thin discs each of mass 4.0 kg and radius 4.0 m are attached as shown in figure to form a rigid body. •B •A The rotational inertia of this body about an axis perpendicular to the plane of disc B and passing through its centre is kgm.
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- A rotating solid sphere, (mass = 1kg, radius = 25 cm) starts to spin from rest with a constant angular acceleration of a =1.5 rad / s². After 5s, what is: • The angular velocity of the sphere • The number of rotations (please include fractional answers) The rotational kinetic energy of the sphere if I =MR2a. 2b. 2c. Define center of mass, rem and rotational inertia I State the parallel axis theorem for rotational inertia. Consider a rigid structure made up of a solid sphere of mass ms and a solid cylinder of mass me connected by a solid rod of mass mr (see figure 2). Suppose this system is set into a rotational motion through the center of mass perpendicular to the z axis of the system. Find the rotational inertia of the system. ms 码a.A baseball has a mass of 0.15 kg and radius 3.7 cm. In a baseball game, a pitcher throws the ball with a substantial spin so that it moves with an angular speed of 37 rad/s and a linear speed of 51 m/s Assuming the baseball to be a uniform solid sphere, determine the rotational and translational kinetic energies of the ball in joules. КЕ Frotational KEtranslational
- = 4.2 m and The Hubble space telescope can be approximated as a cylinder with diameter D moment of inertia / = 7.72 x 10¹ kg m². The telescope is initially at rest, and a reaction motor applies a force of 19 N tangentially to the outer surface of the cylinder for 4.5 s. • A. What is the angular acceleration of the telescope? B. What is the average power exerted by the motor over this entire 4.5 s interval? C. What is the instantaneous power exerted at t = 3 s?A net torque of 60 N-m is applied to a disk with a rotational inertia of 12.0 kg•m. What is the rotational acceleration of the disk? Use the CORRECT formula to solve and get the correct answer.The uniform solid block in the figure has mass 38.6 kg and edge lengths a = 0.543 m, b = 1.75 m, and c = 0.118 m. Calculate its rotational inertia about an axis through one corner and perpendicular to the large faces. Rotation axis Number i Units
- A system of point particles is shown in the following figure. Each particle has mass 0.23 kg, and they all lie in the same plane. 42 cm 15 cm axis 62 cm (a) What is the moment of inertia (in kg · m?) of the system about the given axis? ]kg · m² (b) If the system rotates at 3.6 rev/s, what is its rotational kinetic energy (in J)?How do you solve this?LAA-2 A solid disk of radius 15.0cm starts at rest and reaches a final angular speed of 1,200rev/min clockwise after turning thru a total of 80.0 revolutions. rotation a) Find the (constant) angular acceleration of the disk in units of radians and seconds. b) Find the final linear speed in m/s of point P on the rim of the disk. c) Find the magnitude of the tangential acceleration of point P on the rim of the disk. point P R=15.0cm d) Find the magnitude of the radial acceleration of point P on the rim of the disk. e) Sketch on your paper a figure like the one to the right and show arrows that represents atan and arad at point P. 9:47 PM 梦 0 arch 66°F Mostly cloudy 9/23/2021 Gup ISTRUCTION