Show that the natural period of vertical oscillation of a mass hung on a Hookean spring...
a mass m is hung from a fixed support by a spring of constant
k whose natural length is l. a second equal mass is hung from the
first mass by an identical spring. we assume that only the vertical
motion is possible. find the normal modes for small oscillations of
this system from its equilibrium point.
1. A mass m is hung from a fixed support by a spring of constant k whose natural length (relaxed length) is l....
you hung 0.1kg from the brass spring and measured the oscillation period. Now imagine hanging that same 0.1kg mass from the steel spring, which has a higher spring constant. How would the steel spring’s oscillation period compare to the brass spring’s
The period of oscillation of a block of mass 100g hung from a spring is 0.2 s. What would be the period if we replace the block with another block of mass 400g? How would the frequency change? I need help as to what formula I should use. If you can explain how to get the new period!
A block with mass m =7.3 kg is hung from a vertical spring. When
the mass hangs in equilibrium, the spring stretches x = 0.29 m.
While at this equilibrium position, the mass is then given an
initial push downward at v = 4.9 m/s. The block oscillates on the
spring without friction.
1) What is the spring constant of
the spring?
2) What is the oscillation frequency?
3) After t = 0.45 s what is the speed of the...
A block with mass m =7.2 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.25 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.6 m/s. The block oscillates on the spring without friction. What is the spring constant of the spring? What is the oscillation frequency? After t = 0.39 s what is the speed of the block? What is...
A block with mass m =6.2 kg is hung from a vertical spring. When
the mass hangs in equilibrium, the spring stretches x = 0.22 m.
While at this equilibrium position, the mass is then given an
initial push downward at v = 4.7 m/s. The block oscillates on the
spring without friction.
1) What is the spring constant of the spring?
2) What is the oscillation frequency?
3) After t = 0.33 s what is the speed of the...
1. The longer the pendulum the __________ the period of oscillation. Group of answer choices longer shorter 2. The shorter the period of oscillation, the __________ the frequency of oscillation. Group of answer choices lower higher 3. Which of the following does not affect the period of oscillation for a pendulum? Group of answer choices mass of the pendulum length of the pendulum acceleration due to gravity 4. The frequency of oscillation for a mass attached to a spring ____________...
A block of mass 0.427 kg is hung from a vertical spring and allowed to reach equilibrium at rest. As a result the spring is stretched by 0.612 m. Find the spring constant Number N/m The block is then pulled down an additional 0.317 m and released from rest. Assuming no damping, what is its period of oscillation? Number How high above the point of release does the block reach as it oscillates? Number In
A block with mass m =6.6 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.24 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.3 m/s. The block oscillates on the spring without friction. 1) What is the spring constant of the spring? N/m Submit 2) What is the oscillation frequency? Hz Submit 3) After t = 0.41 s what is...
Exercise 11: Simple Harmonic Motion 1. A spring-mass system oscillates with a frequency of 10 Hz when the mass is equal to 0.50 kg. What is the stiffness of the spring? With the same spring, what would the mass need to be to double the frequency? 2. A pendulum swings with a period of 1.50 seconds when the acceleration due to gravity is equal to 9.80 m/s? What is the length of the pendulum? How would this period change if...