Answer:
[ 2.67 , 1 ] m
Explanation:
Given:-
- The side lengths of the rods are as follows:
a = 4 m , b = 4 m , c = 5 m
a = Base , b = Perpendicular , c = Hypotenuse
- All rods are made of same material with uniform density. With
Find:-
Find the coordinates of the center of mass of the triangle.
Solution:-
- The center of mass of any triangle is at the intersection of its medians.
- So let’s say we have a triangle with vertices at points (0,0) , (a,0) , and (0,b).
- Median from (0,0) to midpoint (a/2,b/2) of opposite side has equation:
bx−ay=0
- Median from (a,0) to midpoint (0,b/2) of opposite side has equation:
bx+2ay=ab
- Median from (0,b) to midpoint (a/2,0) of opposite side has equation:
2bx+ay=ab
- Solve all three equations simultaneously:
bx−ay=0 , bx = ay
ay + 2ay = ab , 3ay = ab , y = b/3
bx = b/3
x = a / 3
- So the distance from the median to each leg of the triangle is 1/3 length of other leg.
- So the coordinates of the centroid for right angle triangle would be:
[ 2a/3 , b/3 ]
[ 2.67 , 1 ] m
Answer:
Explanation:
Given
mass of skier=60 kg
distance traveled by skier=75 m
inclination
speed (v)=2.4 m/s
as the skier is moving up with a constant velocity therefore net force is zero
Force applied by cable
work done
(b)Power
Answer:
A.
Explanation:
momentum depends on weight and speed
Answer:
In Celsius:
Explanation:
The formula we are going to use is:
Where:
ε is the emissivity
σ is the Stefan constant
is the final temperature of surrounding surfaces
is the required temperature
is the are of surrounding surface
Calculating The area:
σ= 
ε =0.95
=55+273
=328 K
=100 W
In Celsius:
