All categories

2 years ago

Determine the x and y coordinates xcg and ycg of the center of gravity of the three coins described in part

1 answer:

6 0

The center of mass of a system of particles is a weighted average, according to the individual mass, of the positions of all the particles that compose it. For a particle system we have:xcg = ((x1 * m1) + (x2 * m2) + ... + (xn * mn)) / (m1 + m2 + .... + mn)ycg = ((y1 * m1) + (y2 * m2) + ... + (yn * mn)) / (m1 + m2 + .... + mn)The coins can be taken as particle systems.Note: it is important to define the origin of the coordinate system to calculate the center of mass of a particle system.

You might be interested in

The hammer throw was one of the earliest Olympic events. In this event, a heavy ball attached to a chain is swung several times

Aleonysh [2.5K]

Answer:

Given that

T= 0.43 s

Radius of the ball path's , r=2.1 m

We know that

f= 1/T

Here f= frequency

T= Time period

Now by putting the values

f= 1/T

T= 0.43 s

f= 1/0.43

f=2.32 Hz

We know that

V= ω r

ω = 2 π f

ω=Angular speed

V= Linear speed

ω = 2 π f=ω = 2 x π x 2.32 =14.60 rad/s

V= ω r= 14.60 x 2.1 = 30.66 m/s

Acceleration ,a

a =ω ² r

a= 14.6 ² x 2.1 = 447.63 m/s²

We know that g = 10 m/s²

a= a/g= 447.63/10 = 44.7 g m/s²

a= 44.7 g m/s²

7 0

2 years ago

Ricardo and Jane are standing under a tree in the middle of a pasture. An argument ensues, and they walk away in different direc

Advocard [28]

Answer:

the direction that should be walked by Ricardo to go directly to Jane is 23.52 m, 24° east of south

Explanation:

given information:

Ricardo walks 27.0 m in a direction 60.0 ∘ west of north, thus

A= 27

Ax = 27 sin 60 = - 23.4

Ay = 27 cos 60 = 13.5

Jane walks 16.0 m in a direction 30.0 ∘ south of west, so

B = 16

Bx = 16 cos 30 = -13.9

By = 16 sin 30 = -8

the direction that should be walked by Ricardo to go directly to Jane

R = √A²+B² - (2ABcos60)

= √27²+16² - (2(27)(16)(cos 60))

= 23.52 m

now we can use the sines law to find the angle

tan θ = $\frac{R_{y} }{R_{x} }$

= By - Ay/Bx -Ax

= (-8 - 13.5)/(-13.9 - (-23.4))

θ = 90 - (-8 - 13.5)/(-13.9 - (-23.4))

= 24° east of south

4 0

2 years ago

From the edge of a roof you throw a snowball downward that strikes the ground with 100J of kinetic energy. then you throw a seco

Vanyuwa [196]

Answer:

The second snowball hits the ground with a kinetic energy of 100 Joules

Explanation:

Given that,

From the edge of a roof you throw a snowball downward that strikes the ground with 100 J of kinetic energy. It is a case of conservation of energy.

At the highest point,

$mgh+\dfrac{1}{2}mu^2=mgh'+0$

$100=mgh'$

At lowest point,

$mgh'=K$

From above two equation, we get :

Kinetic energy, K = 100 J

So, the second snowball hits the ground with a kinetic energy of 100 Joules. So, the correct option is (A).

7 0

2 years ago

(a). The largest building in the world by volume is the boeing 747 plant in Everett, Washington. It measures approximately 631m

lions [1.4K]

Explanation:

Given that,

Length of the building, l = 631 m

Breadth of the building, b = 707 yards

Height of the building, h = 110 ft

1 meter = 3.28084 feet

631 m = 2070.21 feet

1 yard= 3 feet

707 yards = 2121 feet

(a) The volume of any cuboidal shape is given by :

$V=l\times b\times h$

$V=2070.21\ ft\times 2121\ ft\times 110\ ft$

$V=4.83\times 10^8\ ft^3$

(b) $V=4.83\times 10^8\ ft^3$

$V=(4.83\times 10^8\ ft^3)(\dfrac{1\ m}{3.281\ ft})^3$

$V=1.37\times 10^7\ m^3$

Hence, this is the required solution.

3 0

2 years ago

Which statements describe velocity and acceleration? Check all that apply. Velocity equals displacement divided by time. All vel

zzz [600]

Answer:

Velocity equals displacement divided by time.

Acceleration equals change in velocity divided by time.

Average velocity can be found by using several velocities and their total time.

7 0

2 years ago