e. 7. A pendulum bob swings back and forth. At the instant shown, the bob is at turning point A. The other turning point, labeled B, and the bob's trajectory (dashed) are shown. a. Choose a point slightly after point A, and label it point C. Draw a vector to represent the velocity of the bob at point C. b. Determine the change-in-velocity vector A between points A and C. C. How would you characterize the direction of Av as point C is chosen to lie closer and closer to point A? d. Each of the following statements is incorrect. Identify the flaws in reasoning for each statement. i. "The acceleration at point A is zero. As point C becomes closer and closer to point A, the change-in-velocity vector becomes smaller and smaller. Eventually, it becomes zero." ii. "At point A, the acceleration makes an angle with the tangent to the trajectory that is greater than 0° but less than 90° because the trajectory is curved and the object is speeding up." On the diagram at right, draw vectors at turning points A and B to indicate the direction of the acceleration at those points. (Hint: Your vectors should be consistent with your answers to parts c and d.) Explain your reasoning. B
e. 7. A pendulum bob swings back and forth. At the instant shown, the bob is at turning point A. The other turning point, labeled B, and the bob's trajectory (dashed) are shown. a. Choose a point slightly after point A, and label it point C. Draw a vector to represent the velocity of the bob at point C. b. Determine the change-in-velocity vector A between points A and C. C. How would you characterize the direction of Av as point C is chosen to lie closer and closer to point A? d. Each of the following statements is incorrect. Identify the flaws in reasoning for each statement. i. "The acceleration at point A is zero. As point C becomes closer and closer to point A, the change-in-velocity vector becomes smaller and smaller. Eventually, it becomes zero." ii. "At point A, the acceleration makes an angle with the tangent to the trajectory that is greater than 0° but less than 90° because the trajectory is curved and the object is speeding up." On the diagram at right, draw vectors at turning points A and B to indicate the direction of the acceleration at those points. (Hint: Your vectors should be consistent with your answers to parts c and d.) Explain your reasoning. B
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Transcribed Image Text:e.
7. A pendulum bob swings back and forth. At the
instant shown, the bob is at turning point A. The
other turning point, labeled B, and the bob's
trajectory (dashed) are shown.
a.
Choose a point slightly after point A, and
label it point C. Draw a vector to represent
the velocity of the bob at point C.
b. Determine the change-in-velocity vector A
between points A and C.
C.
How would you characterize the direction of Av as point C is chosen to lie closer and
closer to point A?
d. Each of the following statements is incorrect. Identify the flaws in reasoning for each
statement.
i.
"The acceleration at point A is zero. As point C becomes closer and closer to point A, the
change-in-velocity vector becomes smaller and smaller. Eventually, it becomes zero."
ii. "At point A, the acceleration makes an angle with the tangent to the trajectory that is
greater than 0° but less than 90° because the trajectory is curved and the object is
speeding up."
On the diagram at right, draw vectors at
turning points A and B to indicate the
direction of the acceleration at those points.
(Hint: Your vectors should be consistent
with your answers to parts c and d.)
Explain your reasoning.
B
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