PY 131 Chapter 8: Rotational Motion

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What is the Center of Mass (CM)?

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20 Terms

1

What is the Center of Mass (CM)?

A point that moves as if all the mass of an object were located there.

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2

Does the Center of Mass have to be inside the object?

No

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3

What is the formula for calculating the Center of Mass of a system made up of two point masses along the x-axis?

x_CM = (m_A/M)(x_A) + (m_B/M)(x_B)

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4

What is the formula for calculating the Center of Mass of a system of many point masses?

The weighted average of the x coordinate of each point mass.

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5

What is the correct form of Newton's Second Law for a system made up of two or more objects?

a_CM = 1/M(F_ext)

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6

What is the net external force?

The external force acting on a system that comes from something outside the system.

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7

What are internal forces?

Forces exerted on each other by two objects in the system, which do not contribute to F_ext.

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8

What happens to the Center of Mass under the net external force acting on the system?

It moves like a point particle with mass M.

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9

What is rotational motion?

The motion of rigid objects around a single line in space called the axis of rotation.

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10

What are polar coordinates?

A more useful way to describe the motion of objects in rotational motion, using the polar coordinates r and θ.

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11

What is the formula for angular velocity?

ω = Δθ/Δt

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12

What is the formula for frequency?

f = 1/T

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13

What is the formula for angular acceleration?

α = Δω/Δt

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14

What is the formula for linear speed?

v = r×ω

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15

What is the formula for centripetal acceleration?

a_C = r×ω^2 = v^2/r

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16

What is the formula for tangential acceleration?

a_tan = r×α

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17

What is uniform circular motion?

A type of motion in which the acceleration points towards the center of the circle and the object's speed is constant

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18

What is non-uniform circular motion?

A type of motion in which the acceleration points in a non-central direction.

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19

What is the formula for the centripetal force?

∑ _radial components F= FC=maC= mv^2 / r =mrω^2

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20

What is the sum in the formula for centripetal force?

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