Complete Question
A system consists of a disk of mass 2.0 kg and radius 50 cm upon which is mounted an annular cylinder of mass 1.0 kg with inner radius 20 cm and outer radius 30 cm (see below). The system rotates about an axis through the center of the disk and annular cylinder at 10 rev/s.
(a) What is the moment of inertia of the system
(b) What is its rotational kinetic energy? axis 50 cm 30 cm 20 cm
Answer:
a)
b)
Explanation:
From the question we are told that:
Mass
Disk Radius
Mass of annular cylinder
Inner Radius of cylinder
Outer Radius of cylinder
Angular Velocity
Generally the equation for moment of inertia is mathematically given by
Generally the equation for Rotational Kinetic Energy is mathematically given by
Answer:
170 N
Explanation:
The following data were obtained from the question:
Mass (m) = 20 Kg
Angle (θ) = 30°
Acceleration due to gravity (g) = 9.8 m/s²
Weight (W) =?
The perpendicular component of the weight can be obtained by using the following formula:
W = mg × Cosθ
W = 20 × 9.8 × Cos 30
W = 196 × 0.866
W = 169.7 ≈ 170 N
Therefore, perpendicular component of the weight is 170 N
Answer:
L = 16 [in]
Explanation:
In order to find the arch we must first find the angle that forms the circular sector, using the following formula:
Now using the following equation we can calculate the arc length
Answer:
It increases the time it takes for the person to stop.
Explanation:
This is called the restoring force.