In Problems 45-50. the distance d (in meters) of the bob of a pendulum of mass m (in kilograms) from its rest position at time t (in seconds) is given. The bob is released from the left of its rest position and represents a negative direction. (a) Describe the motion of the object. Be sure to give the mass and damping factor. (b) What is the initial displacement of the bob? That is, what is the displacement at t = 0 ? (c) Graph the motion using a graphing utility. (d) What is the displacement of the bob at the start of the second oscillation? (e) What happens to the displacement of the bob as time increases without bound? d = − 10 e − 0.8 t / 50 cos ( ( 2 π 3 ) 2 − 0.64 2500 t )
In Problems 45-50. the distance d (in meters) of the bob of a pendulum of mass m (in kilograms) from its rest position at time t (in seconds) is given. The bob is released from the left of its rest position and represents a negative direction. (a) Describe the motion of the object. Be sure to give the mass and damping factor. (b) What is the initial displacement of the bob? That is, what is the displacement at t = 0 ? (c) Graph the motion using a graphing utility. (d) What is the displacement of the bob at the start of the second oscillation? (e) What happens to the displacement of the bob as time increases without bound? d = − 10 e − 0.8 t / 50 cos ( ( 2 π 3 ) 2 − 0.64 2500 t )
Solution Summary: The author explains the formula used to calculate the displacement of an oscillating object from its at–rest position at time t.
In Problems 45-50. the distance
(in meters) of the bob of a pendulum of mass
(in kilograms) from its rest position at time
(in seconds) is given. The bob is released from the left of its rest position and represents a negative direction.
(a) Describe the motion of the object. Be sure to give the mass and damping factor.
(b) What is the initial displacement of the bob? That is, what is the displacement at
?
(c) Graph the motion using a graphing utility.
(d) What is the displacement of the bob at the start of the second oscillation?
(e) What happens to the displacement of the bob as time increases without bound?
1.
A ball is thrown up in the air from a cliff with the initial speed of 10 meters per second
and hits the ground 11 seconds later. How tall is the cliff? You may assume that the acceleration due to
gravity is –10 meters per second squared.
Can someone please tell me what I have done wrong or what I am missing in my work? I keep getting the wrong answer on this question, and I've attempted this same problem over 23 times. I DO NOT understand what I am doing wrong. Please tell me where I am messing up.
An electron moves with a constant horizontal velocity of 3.0 x 100 m/s and no initial vertical velocity as it enters a deflector inside a TV tube. The electron strikes the screen after traveling
17.0 cm horizontally and 40.0 cm vertically upward with no horizontal acceleration. What is the constant vertical acceleration provided by the deflector? (The effects of gravity can be ignored.)
1.4 x 10 m/s?
14
2.5 x 10 m/s2
14
1.2 x 10 m/s?
8.3 x 10 m/s?
Chapter 8 Solutions
Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
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