A large motor in a factory causes the floor to vibrate at a frequency of 10 Hz. The amplitude of the floor's motion near the motor is about 3.0 mm. Estimate the maximum acceleration of the floor near the motor.
A large motor in a factory causes the floor to vibrate at a frequency of 10 Hz. The amplitude of the floor's motion near the motor is about 3.0 mm. Estimate the maximum acceleration of the floor near the motor.
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Question
Lesson 11. Number 2 only
Transcribed Image Text:Lesson 11: Periodic Motion
Assessment
Instructions: Answer the following questions on a separate sheet of paper. Show your complete
solutions and box your final answers.
1. When a family of four with 200-kg net mass step into their 1200-kg car, the car's springs
compress by 3.0 cm. (a) What is the spring constant of the car's springs, assuming they act as
a single spring? (b) Determine the period and frequency of the car after hitting a bump.
2. A large motor in a factory causes the floor to vibrate at a frequency of 10 Hz. The amplitude of
the floor's motion near the motor is about 3.0 mm. Estimate the maximum acceleration of the
floor near the motor.
3. A geologist uses a simple pendulum that has a length of 37.10 cm and a frequency of 0.8190
Hz at a particular location on the Earth. What is the acceleration of gravity at this location? An
easy way to measure the moment of inertia of an object about any axis is to measure the
period of oscillation about that axis. (a) Suppose a non-uniform 1.0-kg stick can be balanced
at a point 42 cm from one end. If it is pivoted about that end, it oscillates with a period of 1.6 s.
What is its moment of inertia about this end? (b) What is its moment of inertia about an axis
perpendicular to the stick through its center of mass?
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