What is the length of a simple pendulum whose full swing from left to right and then back again takes 3.2 S ?
The length of a simple pendulum is 2.54.
Full swing time is3.2 s .
Using the formula for the period of a simple pendulum, we can find the length of a simple pendulum.
The time period of a simple pendulum in SHM,
Using equation (i), we have the value of the length of the pendulum as:
Hence, the required value of length is 2.54m.
Although California is known for earthquakes, it has large regions dotted with precariously balanced rocks that would be easily toppled by even a mild earthquake. The rocks have stood this way for thousands of years, suggesting that major earthquakes have not occurred in those regions during that time. If an earthquake were to put such a rock into sinusoidal oscillation (parallel to the ground) with a frequency of , an oscillation amplitude of would cause the rock to topple. What would be the magnitude of the maximum acceleration of the oscillation, in terms of g?
A 1000 kg car carrying four people travel over a “washboard” dirt road with corrugations" width="9" style="max-width: none;" localid="1661417452544"> apart. The car bounces with maximum amplitude when its speed is 16 km/h. When the car stops, and the people get out, by how much does the car body rise on its suspension?
A 2.0 kg block executes SHM while attached to a horizontal spring of spring constant 200 N/m. The maximum speed of the block as it slides on a horizontal frictionless surface is 3.0 m/s . What are (a) the amplitude of the block’s motion, (b) the magnitude of its maximum acceleration, and (c) the magnitude of its minimum acceleration? (d) How long does the block take to complete 7.0 cycles of its motion?
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