The A string on a cello vibrates in its first normal mode with a frequency of 220 Hz. The vibrating segment is 65.0 cm long and has a mass of 1.10 g. (a) Find the tension in the string. N (b) Determine the frequency of vibration when the string vibrates in three segments. Hz

You have a two-wheel trailer that you pull behind your ATV. Two children with a combined mass of 76.2 kg hop on board for a ride through the woods and the springs (one for each wheel) each compress by 6.17 cm. When you pull the trailer over a tree root in the trail, it oscillates with a period of 1.34 s. Determine the following. (a) force constant of the springs (b) mass of the trailer (c) frequency of the oscillation(d) time it takes for the trailer to bounce up and down 10 times

The left-hand end of a long horizontal stretched cord oscillates transversely in SHM with frequency 260 Hz and amplitude 2.7 cm. The cord is under a tension of 150 N and has a linear density 0.13 kg/m. At t=0, the end of the cord has an upward displacement of 1.7 cm and is falling. Consider the point x = 1.05 m on the cord A) What is its velocity at t = 2.6 s? B) What is its acceleration at t = 2.6 s?

You have a two-wheel trailer that you pull behind your ATV. Two children with a combined mass of 76.2 kg hop on board for a ride through the woods and the springs (one for each wheel) each compress by 6.17 cm. When you pull the trailer over a tree root in the trail, it oscillates with a period of 1.34 s. Determine the following. (a) force constant of the springs (b) mass of the trailer

The air pressure variations in a sound wave cause the eardrum to vibrate. A) Find the maximum velocity of the eardrum for vibrations of amplitude 5.15 × 10−8 m at a frequency of 20.0 Hz. m/s B) Find the maximum acceleration of the eardrum for vibrations of amplitude 5.15 × 10−8 m at a frequency of 20.0 Hz.in m/s^2 C) Find the maximum velocity of the eardrum for vibrations of amplitude 5.15 × 10−8 m at a frequency of 20.0 kHz. in m/s  D) Find the maximum acceleration of the eardrum for vibrations of amplitude 5.15 × 10−8 m at a frequency of 20.0 kHz. m/s^2

The total length of the thread is  L = 7.00 m,  the mass of the thread is  m = 5.00 g,  the mass of the hanging object is  M = 7.00 kg,  and the pulley is a fixed a distance  d = 4.00 m  from the wall. You pluck the thread between the wall and the pulley and it starts to vibrate. What is the fundamental frequency (in Hz) of its vibration?

Answer A and B.

The period of motion of an object-spring system is T = 0.606 s when an object of mass m = 278 g is attached to the spring. (a) Find the frequency of motion in hertz. Hz(b) Find the force constant of the spring. N/m(c) If the total energy of the oscillating motion is 0.254 J, find the amplitude of the oscillations. m

Problem 5: Near the top of the Citigroup Center building in New York City, there is an object with mass of 3.2 × 105 kg on springs that have adjustable force constants. Its function is to dampen wind-driven oscillations of the building by oscillating at the same frequency as the building is being driven- the driving force is transferred to the object, which oscillates instead of the entire building. Part (a) What effective force constant should the springs have to make them oscillate with a period of 1.8 s in N/m? Part (b) What energy is stored in the springs for a 2.2 m displacement from equilibrium in J?

1) A2 Kg block is hanging on a frictionless inclined plane attached to a springwith a spring constantk 150 N/m. The spring is massless and it has an un-stretched length of 65 cm. a) If the spring is stretched and set in SHM: i) What is the frequency of the motion? i) What is the period of the motion? b) What is the equilibrium point of the block from the top of the inclined plane? 30°