A system consists of a vertical spring with force constant k = 1,130 N/m, length L = 1.45 m, and object of mass m = 5.05 kg attached to the end (see figure). The object is placed at the level of the point of attachment with the spring unstretched, at position yi = L, and then it is released so that it swings like a pendulum.
(a) Write Newton's second law symbolically for the system as the object passes through its lowest point. (Note that at the lowest point, r = L − yf. Use the following as necessary: m, v, L, and yf. Do not substitute numerical values; use variables only.)
(b) Write the conservation of energy equation symbolically, equating the total mechanical energies at the initial point and lowest point. (Use the following as necessary: m, L, k, yf, and g. Do not substitute numerical values; use variables only.)
(c) Find the coordinate position of the lowest point.
(d) Will this pendulum's period be greater or less than the period of a simple pendulum with the same mass m and length L? Explain
A system consists of a vertical spring with force constant k = 1,130 N/m, length L...
Please answer all parts of the problem and e A system consists of a vertical spring with force constant k = 1,060 N/m, length L = 1.25 m, and object of mass m = 5.70 kg attached to the end (see figure). The object is placed at the level of the point of attachment with the spring unstretched, at position yi = L, and then it is released so that it swings like a pendulum. A system consists of a...
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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...
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...
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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.
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