Homework Answers
Here we use the concept of simple harmonic motion, and LC oscillation frequency for solution, and relation between angular frequency and time period
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Chapter 31, Problem 006 A 2.3 kg body oscillates in SHM on a spring that, when...
A 1.5 kg body oscillates in SHM on a spring that, when extended 2.3 mm from...
A 1.5 kg body oscillates in SHM on a spring that, when extended 2.3 mm from its equilibrium position, has an 8.1 N restoring force. What are (a) the angular frequency of oscillation, (b) the period of oscillation, and (c) the capacitance of an LC circuit with the same period if L is 7.6 H?
. If a body oscillates vertically from a spring, the restoring force has magnitude kx. Therefore...
. If a body oscillates vertically from a spring, the restoring force has magnitude kx. Therefore the vertical motion is SHM (b) A body is suspended from the(c) If the body is displaced from spring. It is in equilibrium when the equilibrium, the net force on the body upward force exerted by the stretched is proportional to its displacement. spring equals the body's weight. The oscillations are SHM Al- A hanging spring that obevs Hooke's law ΔΙ img mg
Chapter 15, Problem 037 A massless spring hangs from the ceiling with a small object attached...
Chapter 15, Problem 037 A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a position y; such that the spring is at its rest length. The object is then released from y; and oscillates up and down, with its lowest position being 14 cm below y: (a) What is the frequency of the oscillation? (b) What is the speed of the object when it is...
A particle with mass 2.47 kg oscillates horizontally at the end of a horizontal spring. A...
A particle with mass 2.47 kg oscillates horizontally at the end of a horizontal spring. A student measures an amplitude of 0.913 m and a duration of 121 s for 71 cycles of oscillation. Find the frequency, the speed at the equilibrium position, vimax the spring constant, k, the potential energy at an endpoint, U the potential energy when the particle is located 41.7% of the amplitude away from the equilibrium position, U, and the kinetic energy, K, and the...
Will rate! Chapter 31, Problem 007 The energy in an oscillating LC circuit containing a 1.39...
Will rate!
Chapter 31, Problem 007 The energy in an oscillating LC circuit containing a 1.39 H inductor is 5.79 ). The maximum charge on the capacitor is 180 C. For a mechanical system with the same period, find the (a) mass, (b) spring constant, (c) maximum displacement, and (d) maximum speed. (a) Number Units (b) Number Units (c) Number Units (d) Number Units Chapter 31, Problem 014 To construct an oscillating LC system, you can choose from a 11...
5. Given an equation of a 1.5 kg mass in SHM V=2.50 cos (0.25 t) ,...
5. Given an equation of a 1.5 kg mass in SHM V=2.50 cos (0.25 t) , m/s Find a) the units on the values 2.50 and 0.25 b) the amplitude, angular frequency, frequency and period of this oscillation c) the displacement and the acceleration at t=2.00 seconds d) the stiffness of the spring supporting this oscillating mass
5. Given an equation of a 1.5 kg mass in SHM v 2.50 cos (0.25 t)...
5. Given an equation of a 1.5 kg mass in SHM v 2.50 cos (0.25 t) , m/s Find a) the units on the values 2.50 and 0.25 b) the amplitude, angular frequency, frequency and period of this oscillation c) the displacement and the acceleration at t 2.00 seconds d) the stiffness of the spring supporting this oscillating mass =
A block with mass m =7.2 kg is hung from a vertical spring. When the mass...
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...
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...
A mass m = 3 kg is attached to a spring with spring constant k =...
A mass m = 3 kg is attached to a spring with spring constant k = 3 N/m and oscillates with simple harmonic motion along the x-axis with an amplitude A = 0.10 m. (a) What is the angular frequency of this oscillation? (b) What is the period T and the frequency f of the oscillation? (c) If the phase constant = 0, write down expressions for the displacement, velocity and acceleration of the mass as a function...
. If a body oscillates vertically from a spring, the restoring force has magnitude kx. Therefore the vertical motion is SHM (b) A body is suspended from the(c) If the body is displaced from spring. It is in equilibrium when the equilibrium, the net force on the body upward force exerted by the stretched is proportional to its displacement. spring equals the body's weight. The oscillations are SHM Al- A hanging spring that obevs Hooke's law ΔΙ img mg
Chapter 15, Problem 037 A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a position y; such that the spring is at its rest length. The object is then released from y; and oscillates up and down, with its lowest position being 14 cm below y: (a) What is the frequency of the oscillation? (b) What is the speed of the object when it is...
A particle with mass 2.47 kg oscillates horizontally at the end of a horizontal spring. A student measures an amplitude of 0.913 m and a duration of 121 s for 71 cycles of oscillation. Find the frequency, the speed at the equilibrium position, vimax the spring constant, k, the potential energy at an endpoint, U the potential energy when the particle is located 41.7% of the amplitude away from the equilibrium position, U, and the kinetic energy, K, and the...
Will rate!
Chapter 31, Problem 007 The energy in an oscillating LC circuit containing a 1.39 H inductor is 5.79 ). The maximum charge on the capacitor is 180 C. For a mechanical system with the same period, find the (a) mass, (b) spring constant, (c) maximum displacement, and (d) maximum speed. (a) Number Units (b) Number Units (c) Number Units (d) Number Units Chapter 31, Problem 014 To construct an oscillating LC system, you can choose from a 11...
5. Given an equation of a 1.5 kg mass in SHM V=2.50 cos (0.25 t) , m/s Find a) the units on the values 2.50 and 0.25 b) the amplitude, angular frequency, frequency and period of this oscillation c) the displacement and the acceleration at t=2.00 seconds d) the stiffness of the spring supporting this oscillating mass
5. Given an equation of a 1.5 kg mass in SHM v 2.50 cos (0.25 t) , m/s Find a) the units on the values 2.50 and 0.25 b) the amplitude, angular frequency, frequency and period of this oscillation c) the displacement and the acceleration at t 2.00 seconds d) the stiffness of the spring supporting this oscillating mass =
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...
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