4. Two playground swings start out together. After 5 complete oscillations, the swings are out of...
4. Two playground swings start out together. After 5 complete oscillations, the swings are out of step by half a cycle. If the time it takes for one swing to complete 10 oscillations is 2 minutes, what is the difference in the heights of the swings? 5. A pendulum with a swing amplitude of 5° is known to have a period of 5 s. What is the length of the pendulum's string?
2. The position of the motion of the bob in a simple pendulum in radians is given by 0(t)-3cos What is the amplitude, frequency, and period of the motion? 3.A man enters a tall tower needing to know its height. He notes that a long pendulum extends from the ceiling almost to the floor, and its period is 12 s. How tall is the tower? Two playground swings start out together. After 5 complete oscillations, the swings are out of...
1. The position of an object is given by the function F(t) -cos(0.250.5) (a) What is the amplitude, frequency, and period of the motion? (b) What is the position of the object at t-0s and 0.2s? (c) Plot F(t) as a function of t, for 0 st 4π 2. The position of the motion of the bob in a simple pendulum in radians is given by What is the amplitude, frequency, and period of the motion? 3. A man enters...
1. The position of an object is given by the function: F(t) = cos(0.25mt + 0.57 (a) What is the amplitude, frequency, and period of the motion? (b) What is the position of the object at t 0s and t0.2s? (c) Plot F(t) as a function of t, for 0 St 4 2. The position of the motion of the bob in a simple pendulum in radians is given by θ(t)--3 cos(nt + π) What is the amplitude, frequency, and...
Pendulums
Two identical pendulums have the same period when measured in the factory. While one pendulum swings on earth, the other is taken on a spaceship traveling at 95% the speed of light. Assume that both pendulums operate under the influence of the same net force and swing through the same angle. When observed from earth, how many oscillations does the pendulum on the spaceship undergo compared to the pendulum on earth in a given time interval? more oscillations fewer...
Problem 4 Frank’s Fine Furniture makes tables, desks, bookcases, and other office furniture. At the North California facility, they make tables. All parts of the table are purchased except for the tabletop that is fabricated at the plant. Tables are made to order for dealers who FAX orders into the sales department. Orders are processed from the order database on FIFO basis. The first step in the process is to cut the top ¾ pressboard. It takes one worker 20...
1. Two random walkers start out together at the origin, each having equal probability of making a step to the left or right along the r axis. Find the probability that they meet after N steps. (They take their steps simultaneously. It may be helpful to consider their relative motion.)
Two Slabs
Two beams of light start together and then hit a slab of two
different kinds of material. This will cause one of the beams to
get "ahead" of the other; that is, one will emerge from the slab
sooner than the other. The beams have a wavelength of 550 nm
outside the slabs, and the slab is d = 2.10 microns thick. If the
top half of the slab has index of refraction 1.62 and the bottom
has...
Problem 4 (16 points) Consider a typical patient's stay in the emergency department (ED). On average, 10 patients arrive to the ED per hour. Triage: Once a patient arrives, he/she is first triaged at the triage station which is staffed with one triage nurse. The triage process takes 5 minutes on average. Initial Consultation: After triage, the patient goes through initial consultation with a nurse who takes information on the patient's demographics, medical history, allergies, etc. On average, initial consultation...
Two-step Process Utilization: A two- used to finish a product: painting and drying. There are 5 workers and each one takes an average of 60 minutes to paint each unit. Drying takes place in an oven that can hold up to 100 units and it takes 5 minutes to load each unit. Once all the units are loaded into the oven, it takes 6 hours to dry each load. Assume that the process is capacity constrained (so the demand rate...