A suspension bridge oscillates with an effective force of 1 * 10^8 N/m.  How much energy is needed to make it oscilate with an amplitude of .1 m? If soldiers march across the bridge's natural frequency and impart 1*10^4 j of energy each second, how long does it take for the bridges oscilations to go from .1 m to .5 m amplitude?

A O1 26% 0 3:38 pm live6.pdf ビy 1) A 0.1 kg object oscillates as a simple harmonic motion along the x -axis with a frequency f = 3.185 Hz. At a position x,, the object has a kinetic energy of 0.7 J and a potential energy 0.3 J. The amplitude of oscillation, A, is: f- 3.18 sH 3 (a) 0.12 m m=0.l Ka (b) 0.22 m KE= 0.78 PE =0.3J. (c) 0.31 m (d) 0.42 m A -7: E= XE +PE = o.7+ 0.3 =1J= KA". => A?= 2-2 K m=0.22 K = mw? = (0.1)(20) * : 40. => w : 20 radls 2) A block of mass m is attached to a spring with force constant, k and oscillate at a frequency f. If the mass is changed to m' = m/2, and the spring force is changed to k' = 2k, then the new frequency f' of the oscillation would be, (a)f = 2f / m'- m K': 2K (b)f = f (c)f' = f/2 (d)f" = 4f wiVE = = 2 w. in = The following given is for questions 3 and 4: A block of mass m = 2 kg is attached to a spring with spring constant k = 200 N/m, and set to oscillates on a frictionless horizontal surface. At time t = 0 its position is xo = 0 and its…

This, the length of the pendulum is 1.89 m. Now you start with the pendulum at 8.5 degrees with respect to the vertical, but rather than releasing it from rest, you give it a push downward. It swings to the other side, and reaches a maximum angle of 42.5 degrees with respect to the vertical. What must have been the initial speed of the pendulum just after you pushed it?     4.99 m/s     3.06 m/s     3.12 m/s     0.64 m/s

This, the length of the pendulum is 1.58 m. Now you start with the pendulum at 20.6 degrees with respect to the vertical, but rather than releasing it from rest, you give it a push downward. It swings to the other side, and reaches a maximum angle of 34.3 degrees with respect to the vertical. What must have been the initial speed of the pendulum just after you pushed it?     1.41 m/s     3.71 m/s     1.85 m/s     2.32 m/s

Please help me understand this practice problem.

how to do?

In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max, to the maximum angular velocity, O'max, is Tt s^(-1). What is the time needed for the pendulum to complete two oscillations? O 0.25 sec O 1 sec O0.5 sec O2 sec O 4 sec

Given that the total energy of a simple harmonic spring system is given by: E = (mV?/2) + (kx2/2) Calculate the maximum kinetic energy for a mass (0.5 kg) on a simple harmonic spring with spring constant k =4 N/m, and amplitude of 10 cm. O 0.02 Joulles O 0.002 Joules O 0.0002 Joules O 0.04 Joules O 0.0004 Joules

Astronauts on a distant planet set up a simple pendulum of length 1.20 m. The pendulum executes simple harmonic motion and makes 100 complete oscillations in 280 s. What is the magnitude of the acceleration due to gravity on this planet?

A 260 g load attached to a horizontal spring moves in simple harmonic motion with a period of 0.450 s. The total mechanical energy of the spring–load system is 2.00 J. What is the spring constant (in N/m)? What is the amplitude (in m) of the motion? What If? What is the percentage change in amplitude of motion if the total energy of the system is increased to 6.00 J (% change)?