8/10/2019 Oscillations_SHM_Solutions.pdf

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8/10/2019 Oscillations_SHM_Solutions.pdf

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Problem 2

A 0.45kg mass

s attachedo a spring

with a force constantof26.0 N/m

and

eleased

rom

rest

a disianceof 3.25 cm from the

equilibrium

position

ofthe

spring.

a)

What s the

period

of the mass?

b)

Use conservation

f enerry

o

find

the speed f the masswhen t is halfinay

to the equilibrium

position. (c)

What s the maximum

speed f the mass?

d)

What s the

magnitudeof the maximum acceleration

f the mass?

N)=

O"95KX

l(

--

).to"o

N/r.r

/1=

a.A5ceq

=

O.o3a5

r ' )

I

l-

l-""__ ,-^s_A4_*4__f

-l

%

le---------+l

5.

J.

b

crr)

,n

e- i

)r{fr

,Wp;A

ad

Y\,

4=z'

+\AryewA

""c

tn;ry'&tf a6

(")

T=,/+=

XrPr

|

-

d\

r l

.o " t tSYX

I

to.o

N/ro

(b)

m=o.r/

r+

K

=

)-G,oN/'n

A=O.b315o

X

=

O,olt"a.S

")

V:

?

a'.'72;fo^)"

lT-=

O,C3s

I

, ,

V

=

/

(rr"oN/^)

[co.ozas^1.-

16.orr,re-)']

I

o.

stzg

.,

l/^^.rt

=

7+

K

(A*-*^)

----

V

=

J *

(n'-xb

fct

V

=

o,I\.r/s

(

o"oa

E= /1KAo= Tamv\ TxKx^

V.q

=

O").5

-/s

( . )

f

=

t/xKA'=

7a

D

V-t

-----+

Vm

=

(J)

o.=ftr^,r=

Aly^

Om= ,lnfs^

Jt"o

=