Answer
given,
mass of the solid door = 22 Kg
dimension of door = 220 cm x 91 cm
moment of inertia about the hinge
![I = \dfrac{1}{3}Mr^2](https://tex.z-dn.net/?f=I%20%3D%20%5Cdfrac%7B1%7D%7B3%7DMr%5E2)
r is the distance from the one edge which is equal to 91 cm or 0.91 m
![I = \dfrac{1}{3}\times 22 \times 0.91^2](https://tex.z-dn.net/?f=I%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%2022%20%5Ctimes%200.91%5E2)
![I = 6.073\ kg m^2](https://tex.z-dn.net/?f=I%20%3D%206.073%5C%20kg%20m%5E2)
Moment of inertia about center for rectangular gate is equal to
![I_{CM} = \dfrac{1}{12}Mr^2](https://tex.z-dn.net/?f=I_%7BCM%7D%20%3D%20%5Cdfrac%7B1%7D%7B12%7DMr%5E2)
moment of inertia for rotation about a vertical axis inside the door, 15 cm from one edge
![I = I_{CM} + MR^2](https://tex.z-dn.net/?f=I%20%3D%20I_%7BCM%7D%20%2B%20MR%5E2)
![I = I_{CM} + M(\dfrac{91}{2}- 15)^2](https://tex.z-dn.net/?f=I%20%3D%20I_%7BCM%7D%20%2B%20M%28%5Cdfrac%7B91%7D%7B2%7D-%2015%29%5E2)
![I = \dfrac{1}{12}Mr^2+ M(0.0930)](https://tex.z-dn.net/?f=I%20%3D%20%5Cdfrac%7B1%7D%7B12%7DMr%5E2%2B%20M%280.0930%29)
![I = \dfrac{1}{12}\times 22 \times 0.91^2+ 22 \times (0.093)](https://tex.z-dn.net/?f=I%20%3D%20%5Cdfrac%7B1%7D%7B12%7D%5Ctimes%2022%20%5Ctimes%200.91%5E2%2B%2022%20%5Ctimes%20%280.093%29)
![I = 3.56\ Kg m^2](https://tex.z-dn.net/?f=I%20%3D%203.56%5C%20Kg%20m%5E2)
Answer:
1.44%
Explanation:
The potential energy of a spring is given by
![U=\dfrac{1}{2}kx^2](https://tex.z-dn.net/?f=U%3D%5Cdfrac%7B1%7D%7B2%7Dkx%5E2)
The kinetic energy is
![E=\dfrac{1}{2}kA^2](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7B1%7D%7B2%7DkA%5E2)
Now x = 12 A
Applying in the first equation
![U=\dfrac{1}{2}k(12A)^2\\\Rightarrow U=\dfrac{1}{2}k144A^2\\\Rightarrow U=144\dfrac{1}{2}kA^2\\\Rightarrow U=144E](https://tex.z-dn.net/?f=U%3D%5Cdfrac%7B1%7D%7B2%7Dk%2812A%29%5E2%5C%5C%5CRightarrow%20U%3D%5Cdfrac%7B1%7D%7B2%7Dk144A%5E2%5C%5C%5CRightarrow%20U%3D144%5Cdfrac%7B1%7D%7B2%7DkA%5E2%5C%5C%5CRightarrow%20U%3D144E)
The percentage would be 14400%
at
(makes more sense)
![U=\dfrac{1}{2}k(\dfrac{1}{2}A)^2\\\Rightarrow U=\dfrac{1}{2}k\dfrac{1}{4}A^2\\\Rightarrow U=\dfrac{1}{4}\times \dfrac{1}{2}kA^2\\\Rightarrow U=0.25E](https://tex.z-dn.net/?f=U%3D%5Cdfrac%7B1%7D%7B2%7Dk%28%5Cdfrac%7B1%7D%7B2%7DA%29%5E2%5C%5C%5CRightarrow%20U%3D%5Cdfrac%7B1%7D%7B2%7Dk%5Cdfrac%7B1%7D%7B4%7DA%5E2%5C%5C%5CRightarrow%20U%3D%5Cdfrac%7B1%7D%7B4%7D%5Ctimes%20%5Cdfrac%7B1%7D%7B2%7DkA%5E2%5C%5C%5CRightarrow%20U%3D0.25E)
The percentage is 25 % of the kinetic energy
Answer:
Explanation:
current (I) = 0.12 A
potential difference (v) = 3 volt
now
resistance (R)
= V / I
= 3 / 0.12
= 25 Ω.
hope it will help :)
Answer:
hope this helps you :)
Explanation:
An object is in motion if its position changes relative to another object. To decide if you are moving, you can use your chair as a reference point. A reference point is a place or object used for comparison to determine if something is in motion.