Auniform bar has two small balls glued to its ends. the bar is 2.00 m long and has mass 4.00 kg, while the balls each have mass 0.300 kg and can be treated as point masses. find the moment of inertia of this combination about an axis: (a) perpendicular to the bar through its center. (b) perpendicular to the bar through one of the balls. (c) parallel to the bar through both balls. (d) parallel to the bar and 0.500 m from it.

a)1.93 kg-m^2

b) 1.45  kg-m^2

c) = 0

d) 1.15 kg-m^2

Explanation:

mass of the bar M = 4 kg

length of the bar = 2 m

mass of balls m1= m2= 0.3 kg

moment of inertia of bar

about an axis perpendicular to the bar through its center.

a) MOI of bar + 2×m×(L/2)^2

+

now putting the values of m, M and L as above and solving we get

I= 1.93 kg-m^2

b) perpendicular to the bar through one of the balls

= 1.45  kg-m^2

c) parallel to the bar through both balls

zero as the no mass distribution along the parallel to the bar through both balls.

d) parallel to the bar and 0.500 m from it.

I=

putting values and solving we get

1.15 kg-m^2

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50

a sonic boom is a loud boom that breaks the sound barrier

explanation: