R 1) 15,9 2) 11/7 R R 3) 1019 6m 4) 16,6 R
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The composite pendulum consists of a uniform disk with a radius of mass 6 as shown in the figure is connected to a uniform rod of length 8 and mass M and oscillates in the gravitational field with low amplitude. What is the period of the pendulum swing?


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- In a pendulum, is it angular velocity or angular acceleration that is proportional to sin (theta)?Two pendula are shown in the figure. Each consists of a solid ball with uniform density and has a mass M. They are each suspended from the ceiling with massless rod as shown in the figure. The ball on the left pendulum is very small. The ball of the right pendulum has radius 1/2 L.Randomized Variables L = 1.3 m a) Find the period T of the left pendulum for small displacements in s. b) Find the period T of the right pendulum for small displacements in s.The end of a nanoscale cantilever used for weighing DNA molecules oscillates at 8.8 MHz with an amplitude of 5.0 nm. What are (a) the maximum speed and (b) the maximum acceleration of the end of the cantilever?
- Orangutans can move by brachiation, swinging like a pendulum beneath successive handholds. If an orangutan has arms that are 0.90 m long and repeatedly swings to a 20° angle, taking one swing immediately after another, estimate how fast it is moving in m/s.An air-track glider attached to a spring oscillates between the 20 cm mark and the 70 cm mark on the track. The glider completes 15 oscillations in 30 seconds. Calculate the period, frequency, angular frequency, and amplitude.Question: A conical pendulum is constructed with a string length of 0.475 meters and is set into motion with a radius of 0.180 meters. What is the period of the pendulum's circular motion? My Comments: I'm using F = m* (v^2 / r) and I am solving for velocity which comes out to approximately 1.33 m/s. Is that what they are looking for and is period the same thing as velocity since it is moving in circular motion? Also, why is the string length given? Am I supposed to be using that information or is it to throw me off? Just curious if I'm missing out on what I need to know.
- A piston executes simple harmonic motion with an amplitude of 0.1 m. If it passes through the center of its motion with a speed of 0.5 m/s, what is the period of oscillation?A 0.8-kg uniform rod oscillates about its edge with a frequency of 1.1 Hz. What is the rod’s length?The displacement of an oscillating object as a function of time is shown in the figure. What are the frequency, amplitude, angular frequency, and period?
- The acceleration due to gravity on the moon is 1.6 meters per second squared. If a pendulum is whose length is 6.4 meters is placed on the moon, its period will be:a. What is the translational velocity of the bottom tip of the pendulum at the moment that gravitational potential energy is 50% of its maximum? b. What effect would doubling the mass and length of the physical pendulum have on the answer to part (a) of the problem? c. Draw graphs of angular acceleration, tangential translational acceleration, and centripetal acceleration as functions of the instantaneous angle that the pendulum makes with the vertical. In all three graphs show the behavior of the acceleration from release with theta =38.4 degree until the pendulum is vertical and theta =0 degree.For this motion, what is the period? What is the frequency, angular frequency, and amplitude?