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PHYSICS 1L03 Lecture Notes - Ankle, Atomic Units

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scarletturtle753

25 Jan 2014

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McMaster University

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Document Summary

Seventh series: questions on center of mass, and torque. Concept: three masses, 2. 0 kg, 3. 0 kg, and 6. 0 kg, are located at points (3. 0, 0), (6. 0, 0), and (-4. 0, Where is the center of mass of this system: a dumbbell, figure below, has a connecting bar of negligible mass. Oxygen has a mass of 16 atomic units (u) and each hydrogen has a mass of 1 u. The hydrogen atoms are each at an average distance of 96 pm ( 96 x 10 -12 m) from the oxygen atom, and are separated from one another by an angle of 104. 5o. Find the center of mass of a water molecule: two children are balanced on a see-saw of negligible mass. (this assumption is made to keep the example simple. ) The first child, sitting on left side of the pivot, has a mass of 26. 0 kg and sits 1. 60 m from the pivot.

Related textbook solutions

Physics: Principles with Applications

7th Edition, 2013

ISBN: 9780321625922

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Related Questions

x.Hm

I just need help in the three questionI figure the last question

1)Consider an oxygen molecule (O2) rotating inthe xy plane about the z axis. The axis

passes through the center of the molecule,perpendicular to its length. The mass of each

oxygen atom is 2.66 x 10

-26 kg, and at room temperature the average separation between

the two atoms is

d=1.21 x 10-10 m (the atoms are treated as point masses).a) Calculate

the moment of inertia of the molecule about the zaxis. b) If the angular speed of the

molecule about the

z axis 4.60 x 1012 rad/s, what is its rotational kineticenergy?

Answer: a) 1.95 x 10

-46 kg.m2 b) 2.06 x 10-21 J

2) A wheel rotates with a constant angularacceleration of 3.50 rad/s2. If the angular speed

of the wheel is 2.00 rad/s at

ti = 0, a) through what angle does the wheel rotate in2.00 s?

3)A uniform rod of length L and mass M is free to rotate on africtionless pin passing

through one end as shown in question 4 below. Therod is released from rest in the

horizontal position. a) What is its angular speedwhen it reaches its lowest position?

b) Determine the linear speed of the center ofmass and the linear speed of the lowest

point on the rod when it is in the verticalposition.

3g b) Center of mass speed =3gL

Linear speed of the lowest point =3gL

(Hint, use mechanical energy conservation)

4 A uniform rod of length L and mass M is attached at one endto a frictionless pivot and is

free to rotate about the pivot in the verticalplane, as shown in Figure below. The rod is

released from rest in the horizontal position. a)What is the initial angular acceleration of

the rod and b) the initial linear acceleration ofits right end? Answer: a)

Answer: a)

L

3

g b) Center of mass speed = 3gL

2

1 ;

Linear speed of the lowest point =3

(Hint, use mechanical energyconservation)