A 1 kg point mass is attached to the end of a massless string, and the other end
ID: 1624028 • Letter: A
Question
A 1 kg point mass is attached to the end of a massless string, and the other end of the string is attached to a fixed pivot. This pendulum is set swinging from a small initial angle inside a vacuum. The period of the pendulum is exactly one second. The length of the pendulum string is most nearly: 0.25 m 0.5 m 1 m 1.75 m Not enough info. Use the following answer choices for Questions #11-13: when the pendulum is oriented vertically when the pendulum makes a maximum angle (measured from where the pendulum is vertical) when the pendulum makes an angle somewhere between those in choices a & b Not enough info; depends on where the oscillation was started. Where is the angular velocity of the pendulum the largest? Where is the potential energy of the pendulum the largest? Where is the angular acceleration of the pendulum the largest? A periodic wave is created by moving the end of a horizontal string up and down. The string has a tension of 50 N, and a length of 10 m (entire length not shown below). The wave travels at 10 m/s, and has a frequency of 5 Hz and an amplitude of 1 m. Also, you draw a point on the string with a pen (call it point X). What is the total vertical distance travelled by point X as one wavelength passes? 0 m 0.5 m 1 m 2 m 4 m The wavelength of the wave is: 0.5 m 2 m 5 m 20 m 50 m If a different, second wave (of frequency 10 Hz) was instead sent down this same string, it would travel at: 5 m/s 7 m/s 10 m/s 14 m/s 20 m/s Now, assuming both ends of the string are approximately fixed, what is the lowest frequency standing wave can be generated on this string? 0.25 Hz 0.5 Hz 0.75 Hz 1 Hz 2 HzExplanation / Answer
10
As
T = 2(L/g)1/2
T2/42 = L/g
L = g T2/42 = (9.8)(1)2/4*(3.14)2= 0.2485 m = 0.25 m
The correct option is – a.
11
Angular velocity is largest at the lowest point.
12
Potential energy is largest at the highest point.
13
As restoring force or torque is proportional to the displacement so it is maximum for highest points and so does the accelerations.
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