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Physics 2211: Hooke’s Law Oscillations Some Vocabulary If not for elastic forces, there would be no (living) bungee jumpers . . . “Galloping Gertie” -- The Tacoma-Narrows Bridge equilibrium length of spring Experimental Fact: Hooke’s Law At what time does the block begin to slip?

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Physics 2211:

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Physics 2211:

Hooke’s Law

Oscillations



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If not for elastic forces,

there would be no (living) bungee jumpers . . .



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equilibrium length of spring

Experimental Fact: Hooke’s Law


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At what time does the block begin to slip?

Block slips when spring force

on block exceeds maximum

static friction force


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At what time does the block begin to slip?

Block slips when spring force

on block exceeds maximum

static friction force


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F

What force F holds the box at rest if it is displaced a distance X?


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2nd Newton Law

Try this solution


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2nd Newton Law

Try this solution

Analogous to circular motion


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Problem

A baseball is hit at ground level with an initial velocity of 45 m/s

at an angle of 30deg above the horizontal. After achieving its maximum

height above ground level the baseball just clears a 10 meter high

wall. How far is the wall horizontally from the point where the

baseball is hit?

(a) 20 m (b) 250 m (c) 160 m (d) 320 m (e) 120 m


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problem

Problem 2. An airplane has a cruising speed of 150 mi/h in calm air. The pilot finds that if he sets a compass heading of 10 south of east, it takes him 20 min to fly to a point that is 60 mi due east of his starting point. If east is assumed to be in the positive x direction (and north in the positive y direction), what is the direction of the wind?

(a) 39

(b) 54

(c) 49

(d) 44

(e) 30


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problem

Problem 3. A mass m attached to the end of a string swings in a vertical circle having a radius of R. At an instant when the string makes an angle of a degrees below the horizontal, the speed of the mass is v. What is the tension in the string at this instant?


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