Question

Q 102 A rectangular plate with a length of 60 cm has
an area of 1500 cm2. Find the moment of inertia
of the rectangular plate if the axis of the rotation
is located at the centre of the plate.
(Given: The mass of the plate is 4 kg)
Ops: A. O 0.14 kg/m²
B. O 0.18 kg/m2
C. O 0.1 kg/m2
D. O 0.16 kg/m2​

Answer 1

Answer:

rectangular

Explanation:

Flags are usually rectangular in shape (often in the ratio 2:3, 1:2, or 3:5), but may be of any shape or size that is practical for flying, including square, triangular, or swallow tailed.

Answer 2

Answer:

A. 0.14 kg/m²

Explanation:

moment of inertia of rectangular plate about the axis perpendicular and passing through the centre is:

I= $\frac{1}{12}$ × m × ( a² + b²)

area = a × b

1500 = 60 × b

b= 1500/ 60

b= 25 × 10⁻² m

a = 60 × 10⁻² m

I = $\frac{1}{12}$ × 4 × ( 60² + 25²)× 10⁻⁴

I = $\frac{1}{3}$ × (3600 + 625 ) × 10⁻⁴

I = $\frac{4225}{3}$ × 10⁻⁴

I= 1408.3 × 10⁻⁴

I= 0.14 kg/m²