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Questions and Answers
A vector carries a point from B to A.
A vector carries a point from B to A.
False (B)
The term vector originates from a Latin word.
The term vector originates from a Latin word.
True (A)
Vectors have a direction from A to B.
Vectors have a direction from A to B.
False (B)
It is correct to give an answer with a greater number of figures.
It is correct to give an answer with a greater number of figures.
Vectors are scalar quantities.
Vectors are scalar quantities.
The body in Fig. 3-4 is initially at rest at t=0.
The body in Fig. 3-4 is initially at rest at t=0.
The spring is stretched a certain distance x = -xo at t=0.
The spring is stretched a certain distance x = -xo at t=0.
The body in Fig. 3-4 is in oscillation at t=0.
The body in Fig. 3-4 is in oscillation at t=0.
The body in Fig. 3-4 is initially compressed at t=0.
The body in Fig. 3-4 is initially compressed at t=0.
The spring returns to its original length immediately after being released.
The spring returns to its original length immediately after being released.
The amplitude of the displacement A is equal to the maximum value of the velocity Aw.
The amplitude of the displacement A is equal to the maximum value of the velocity Aw.
The plots of Eq. 3.22 and Eq. 3.21 are identical.
The plots of Eq. 3.22 and Eq. 3.21 are identical.
The value of w can be equal to unity.
The value of w can be equal to unity.
The amplitude of the displacement A is always greater than the maximum value of the velocity Aw.
The amplitude of the displacement A is always greater than the maximum value of the velocity Aw.
Fig. 3-5 shows the plots of Eq. 3.22 and Eq. 3.21.
Fig. 3-5 shows the plots of Eq. 3.22 and Eq. 3.21.
The function introduced earlier is used to describe a body undergoing linear oscillations.
The function introduced earlier is used to describe a body undergoing linear oscillations.
Eq. 3.9 is used to model a body undergoing circular motion.
Eq. 3.9 is used to model a body undergoing circular motion.
We are certain that the function introduced earlier will describe a body undergoing sinusoidal oscillations.
We are certain that the function introduced earlier will describe a body undergoing sinusoidal oscillations.
The function introduced earlier is used to model a body undergoing oscillations.
The function introduced earlier is used to model a body undergoing oscillations.
Eq. 3.9 is used to describe a body at rest.
Eq. 3.9 is used to describe a body at rest.
The arc length moved by a marker on the innermost radius of the wheel is equal to the distance traveled by the car.
The arc length moved by a marker on the innermost radius of the wheel is equal to the distance traveled by the car.
The distance traveled by the car is 120 meters.
The distance traveled by the car is 120 meters.
If there is slipping between the wheels of the car and the road, the arc length moved by a marker on the outermost radius of the wheel is equal to the distance traveled by the car.
If there is slipping between the wheels of the car and the road, the arc length moved by a marker on the outermost radius of the wheel is equal to the distance traveled by the car.
The arc length moved by a marker on the outermost radius of the wheel is greater than the distance traveled by the car.
The arc length moved by a marker on the outermost radius of the wheel is greater than the distance traveled by the car.
The wheel's radius is 120 meters.
The wheel's radius is 120 meters.
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Study Notes
Vector Components
- A vector is a Latin word that means "carrier", carrying a point A to point B.
Vector Applications
- In a car, if there is no slipping between the wheels and the road, the arc length moved by a marker on the outermost radius of the wheel is equal to the distance traveled by the car.
- In this case, the distance traveled by the car is 120m.
Sinusoidal Oscillations
- A body can be set into oscillation by initially stretching a spring a certain distance (x= xo) and then releasing it at t=0.
- The body may undergo sinusoidal oscillations, which can be described by a function such as Eq. 3.9.
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