39.- A small sphere of lead with a mass of 25g is connected to the origin by a thin rod of 74cm and negligible mass. The rod rotates around the z axis in the (x,y) plane. A constant force of 22N in the "y" direction acts on the sphere. a) Assuming that the sphere is a particle, what will be the rotational inertia about the origin? b) If the rod makes an angle of 40° with the positive x-axis, calculate its angular acceleration. 40.- Three particles are connected to a thin rod one meter long and of negligible mass that rotates around the origin in the (x,y) plane. Particle 1 (mass 52g) is attached at a distance of 27cm from the origin, particle 2 (35g) is at 45cm and particle 3 (24g) is at 65cm. a) What is the rotational inertia of the system? b) if instead the rod rotated around the center of mass of the system, what would its rotational inertia be?

39.- A small sphere of lead with a mass of 25g is connected to the origin by a thin rod of 74cm and negligible mass. The rod rotates around the z axis in the (x,y) plane. A constant force of 22N in the "y" direction acts on the sphere. a) Assuming that the sphere is a particle, what will be the rotational inertia about the origin? b) If the rod makes an angle of 40° with the positive x-axis, calculate its angular acceleration. 40.- Three particles are connected to a thin rod one meter long and of negligible mass that rotates around the origin in the (x,y) plane. Particle 1 (mass 52g) is attached at a distance of 27cm from the origin, particle 2 (35g) is at 45cm and particle 3 (24g) is at 65cm. a) What is the rotational inertia of the system? b) if instead the rod rotated around the center of mass of the system, what would its rotational inertia be?

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)...

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39.- A small sphere of lead with a mass of 25g is connected to the origin by a thin rod of 74cm and negligible mass. The rod rotates around the
z axis in the (x,y) plane. A constant force of 22N in the "y" direction acts on the sphere. a) Assuming that the sphere is a particle, what will be
the rotational inertia about the origin? b) If the rod makes an angle of 40° with the positive x-axis, calculate its angular acceleration.
40.- Three particles are connected to a thin rod one meter long and of negligible mass that rotates around the origin in the (x,y) plane. Particle
1 (mass 52g) is attached at a distance of 27cm from the origin, particle 2 (35g) is at 45cm and particle 3 (24g) is at 65cm. a) What is the
rotational inertia of the system? b) if instead the rod rotated around the center of mass of the system, what would its rotational inertia be?
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Step 1: 39) Given data:

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Step 2: Calculation of rotational moment of inertia about origin:

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Step 3: Calculation of angular acceleration when the rod makes an angle 40 degree with horizontal:

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Step 4: 40) Given data:

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Step 5: a) Calculation of rotational inertia of the system:

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Step 6: b) Calculation of rotational inertia about Center of mass:

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