Physics 2211:

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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:

Hooke’s Law

Oscillations

If not for elastic forces,

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

equilibrium length of spring

Experimental Fact: Hooke’s Law

At what time does the block begin to slip?

Block slips when spring force

on block exceeds maximum

static friction force

At what time does the block begin to slip?

Block slips when spring force

on block exceeds maximum

static friction force

F

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

2nd Newton Law

Try this solution

2nd Newton Law

Try this solution

Analogous to circular motion

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

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

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?