The simple pendulum Flashcards

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1
Q

How do we define the period of an oscillation of a spring-mass system?

A

Tmass = 2 pi.(√(m/k)) , Where k is the spring constant.

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2
Q

What is Hooke’s law?

A

|Fs| = k|x| , where Fs is spring force, k is the spring constant, and x is the magnitude displacement

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3
Q

What is an equilibrium position?

A

The point at which there’s no net force on the object that’s oscillating

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4
Q

What is amplitude

A

Amplitude is the maximum magnitude of the displacement of mass from its equilibrium, also represented by “A”.

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5
Q

What does the formula for spring-mass system state?

A

The period of a spring-mass system is proportional to the Square root of the mass, and indirectly proportional to the square root of the spring constant.

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7
Q

How to represent an oscillation on a graph?

A

Place the displacement on the y-axis, and time on the x-axis.

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8
Q

What is period?

A

Period is the time required for an entire cycle, or in other words, the time a system take to reset to the same position.

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9
Q

What is the difference between angular velocity and angular speed?

A

Angular velocity involves direction, while angular speed does not, since the speed can’t be negative.

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10
Q

What formula can we use to describe the motion of a simple pendulum?

A

ϑ(t) = A.cos( 2pi.f.t) , where ϑ is theta, the magnitude of the angle, A is the maximum angular displacement form the equilibrium.

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11
Q

How is period represented on the graph?

A

The distance from peak to peak, from valley to valley, or from a point to an analogous point on the graph.

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12
Q

What are simple harmonic oscillators( SHO)?

A

Oscillatory motion where the net force on the system is a restoring force.

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12
Q

How do we define angular velocity or angular frequency?

A

w = delta theta/ delta time , where “w” is angular velocity (vector quantity), “delta theta” is the change in angular displacement (in rads), and”delta time” is the change in time.

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13
Q

What formula can we use to calculate the period of simple pendulum?

A

T = 2pi. √(L/g) , where L is the length, G is the gravitational acceleration.

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14
Q

What is moment of inertia?

A

A quantity that determines the torque needed for a desired angular acceleration about a rotational axis

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15
Q

How do we define torque?

A

The product of the force and the perpendicular distance from the line of action of the force to the axis of rotation.

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16
Q

What is the formula for the moment of inertia?

A

I =mL^2 , where I is the moment inertia, m is the mass, and l is the length.