Hints: -Frequency depends on the spring constant -it does depend only on one more parameter of...
A spring with an unstrained length of 0.069 m and a spring constant of 1.6 N/m hangs vertically downward from the ceiling. A uniform electric field directed upward fills the region containing the spring. A sphere with a mass of 5.2 × 10-3 kg and a net charge of +6.4 μC is attached to the lower end of the spring. The spring is released slowly, until it reaches equilibrium. The equilibrium length of the spring is 0.060 m. What is...
A pendulum of length L and mass M has a spring of force constant k connected to it at a distance h below its point of suspension (as shown in the following figure). Find the frequency of vibration of the system for small values of the amplitude (small ?). Assume that the vertical suspension of length L is rigid, but ignore its mass. (Use any variable or symbol stated above along with the following as necessary: g and ?.) f...
A pendulum of length L and mass M has a spring of force constant k connected to it at a distance h below its point of suspension (as shown in the following figure). Find the frequency of vibration of the system for small values of the amplitude (small ?). Assume that the vertical suspension of length L is rigid, but ignore its mass. (Use any variable or symbol stated above along with the following as necessary: g and ?.) f...
the spring constant of a spring is measured in units of How many nodes does the 4th harmonic have? A child creates a pendulum by placing a 3 kg rock on a string. After watching the rock swing back and forth for a while, she replaces the 3 kg rock for a 1.5 kg rock. How is the period of the swing changed by this? O It remains the same. O It is decreased O It is increased O Cannot...
2.) A spring hangs vertically from the ceiling. Its natural length is 1.0 m. When a mass of 2.0 kg is attached to the spring, the spring's equilibrium length is 1.5 m. (a.) What is the spring constant k? The mass displaced vertically from equilibrium by 1.0 cm. (b.) What is the period of oscillation? (c.) What is the maximum speed of the mass? (d.) Suppose I wanted to maximize the oscillation amplitude by tapping on the mass. At what...
A pendulum of length L and mass M has a spring of force constant k connected to it at a distance h below its point of suspension (Fig. P15.59). Find the frequency of vibration of the system for small values of the amplitude (small ). Assume the vertical suspension of length L is rigid, but ignore its mass.
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....
1. A pendulum of length L and mass M has a spring of force constant k connected to it at a distance I below its point of suspension, Assume that the vertical suspension is rigid and that both the vertical suspension and spring are mansless (a) What is the frequency of vibration of the system for small values of the amplitude (small 0)? (b) If the pendulum is displaced by Omar and then released from rest, what is its kinetic...
need help on a)and b) signjficant digits what percentage of the original maximum energy does the spring still i) To four significánt have after a time of 3T? do you think T depends on? es each other, and one has a value of T twice as great what v) If two differenčes would you cbserve? Which pendulum takes longer to die away? are swinging Periodic Change How does the period of a pendulum change (or does not change) when you...
please answer as many questions as possible. I will “thumb up” the answers. Thanks! 1. You are on a boat, which is bobbing up and down. The boat's vertical displacement y is given by y 1.2 cos(t). Find the amplitude, angular frequency, phase constant, frequency, and period of the motion. (b) Where is the boat at t 1 s? (c) Find the velocity and acceleration as functions of time t. (d) Find the initial values of the position, velocity, and...