2. You hang a 2 kg mass on a spring, and find that it takes 1 second to go through one cycle of its motion. What is the spring’s spring constant?
3. You have a pendulum of length 0.5 meters and mass m. If you pull it back just a little bit, how long does it take to swing back and forth 4 times?
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...
6. A ride at six flags straps you in and you swing like a pendulum. The length of the cord that hold you is about 20 m. How long does it take to swing back and forth thrice? 7. The position of a 0.5 kg object attached to a spring is described by the equation: r(t) = (5 m)cos(2nt). What is the spring constant?
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...
What spring constant k would you need to have a 3 kg mass oscillate on the spring with the same period T as the mass would have hanging from a simple pendulum of length of 0.5 meters
You hang two pendulums next to one another. They both are 3 meters long. One of them has a 1 kg mass at the bottom, the other has a 2 kg mass at the bottom. You pull the lighter ball back so that it forms a 40◦ angle with the vertical, and then let it go. It collides elastically with the other pendulum. What is the maximum angle the heavier pendulum creates with the vertical?
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...
The period of a pendulum (i.e. the time it takes to swing back and forth over one cycle of motion) can credibly be believed to depend on both the length of the pendulum and the acceleration due to gravity. We can write this as Where C is some unknown constant, L is the length of the pendulum, g is the acceleratio lue to gravity, and x and y are unknown. Using dimensional analysis, determine how T lepends on L and...
You hang a mass of m = 0.500 kg on a spring and measure that it stretches 2 cm (0.02 m) from its original length. How much elastic potential energy is stored in the spring when it is at rest, stretched to this length?
A uniform thin rod of length L = 40.0 cm and mass M = 800 g is pinned so that it can swing about a point that is one-third of the way from one end of the rod. You pull the rod away from equilibrium by a small angle and release it, so that the rod swings back and forth. (a) What is the period of the rod’s motion as it swings back and forth? (b) What is the length...
You have a pendulum of mass 0.5 kg and a string of length 70 cm. You displace the pendulum a horizontal distance 25 cm from its vertical equilibrium position and release it. How much time (in s) does it take for the pendulum to return to the location where you released it? Submit Answer Tries 0/5 How much time (in s) does it take for the pendulum to swing to its maximum displacement on the opposite side from where you...