Using Hooke's law and equation, , solve for the frequency (w) of an undamped spring.
Using Hooke's law and equation, 
, solve for the frequency (w) of an undamped spring.
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Using Hooke's law and equation,
, solve for the frequency (w) of an undamped spring.
Two-part question involving the Potential energy of a spring using Hooke's Law. For a spring in...
Two-part question involving the Potential energy of a spring using Hooke's Law. For a spring in simple harmonic motion, the ________ the period , the _________ the spring constant. A) Greater, Greater B) Greater, smaller For a spring in simple harmonic motion, the ________ the frequency , the _________ the spring constant. A) Greater, Greater B) Greater, smaller Thanks for your help!
1. According to Hooke's law, the force exerted by a spring is proportional to the amount...
1. According to Hooke's law, the force exerted by a spring is proportional to the amount of stretch (or change in length Ax) and is given by F = -KAX, where the minus sign indicates it is a restoring force. If a force of 120 N acts on a mass 250 g attached to a spring of constant K = 54.55 x 103 N/m. Calculate the following: The change in length Ax The angular frequency (w) The frequency (f) The...
1. According to Hooke's law, the force exerted by a spring is proportional to the amount...
1. According to Hooke's law, the force exerted by a spring is proportional to the amount of stretch (or change in length Ax) and is given by F = -KAx, where the minus sign indicates it is a restoring force. If a force of 120 N acts on a mass 250 g attached to a spring of constant K = 54.55 x 10 N/m. Calculate the following: The change in length Ax The angular frequency (w) The frequency (f) The...
Consider a spring of mass 1 Kg attached to a spring obeying Hooke's Law with spring...
Consider a spring of mass 1 Kg attached to a spring obeying
Hooke's Law with spring constant K
Problem 4. (15 pts) Consider a spring of mass 1 kg attached to a spring obeying Hooke's Law with spring constant k N/m. Suppose an external force F(t) = 2 cos 3t is applied to the mass, and suppose the spring experiences no damping. Suppose the spring can be displaced 0.2 m by a 1.8 N force. If the spring is stretched...
To understand the use of Hooke's law for a spring. Hooke's law states that the restoring...
To understand the use of Hooke's law for a spring. Hooke's law states that the restoring force F⃗ on a spring when it has been stretched or compressed is proportional to the displacement x⃗ of the spring from its equilibrium position. The equilibrium position is the position at which the spring is neither stretched nor compressed. Recall that F⃗ ∝x⃗ means that F⃗ is equal to a constant times x⃗ . For a spring, the proportionality constant is called the spring constant and denoted...
(1 point) Finding the work done in stretching or compressing a spring. Hooke's Law for Springs....
(1 point) Finding the work done in stretching or compressing a spring. Hooke's Law for Springs. According to Hooke's law, the force required to compress or stretch a spring from an equilibrium position is given by F(x) = kx, for some constant k. The value of k (measured in force units per unit length) depends on the physical characteristics of the spring. The constant k is called the spring constant and is always positive. Part 1. Suppose that it takes...
QUESTIONS Using Hooke's law, calculate the stretching frequency of a C-D bond if the stretching frequency...
QUESTIONS Using Hooke's law, calculate the stretching frequency of a C-D bond if the stretching frequency of a C-H bond is 3040 cm-1 2030 cm-1 2130 cm-1 2230 cm-1 2330 cm-1 2430 cm-1
A light spring has an unstressed length l. It is described by Hooke's law with spring...
A light spring has an unstressed length l. It is described by Hooke's law with spring constant k. One end of the horizontal spring is attached to a vertical axle, and the other end is attached to a puck of mass m that can move without friction over a horizontal surface. The puck is set into uniform circlular motion with period 7. (i) Firstly, derive the equation for the extension of the spring. (ii) Thus, determine the mass of the...
Consider a mass m suspended from a massless spring that obeys Hooke's Law (i.e. the force...
Consider a mass m suspended from a massless spring that obeys Hooke's Law (i.e. the force required to stretch or compress it is proportional to the distance stretched/compressed). The kinetic energy T of the system is mv2/2, where v is the velocity of the mass, and the potential energy V of the system is kr-/2, where k is the spring constant and x is the displacement of the mass from its gravitational equilibrium position. Using Lagrange's equations for mechanics (with...
this picture shows the question and ask to derive differential equation based on the law QUESTION...
this picture shows the question and ask to derive differential
equation based on the law
QUESTION 1 a) Consider a flexible spring is suspended vertically from a rigid support and a mass m is attached to its free end. s and x are the amount of elongation and displacement respectively. The two parameters involved are constant of proportionality, k and acceleration of gravity, g. Derive the differential equation of free undamped motion using the appropriate physical laws. {Hint: Hooke's law...
1. According to Hooke's law, the force exerted by a spring is proportional to the amount of stretch (or change in length Ax) and is given by F = -KAX, where the minus sign indicates it is a restoring force. If a force of 120 N acts on a mass 250 g attached to a spring of constant K = 54.55 x 103 N/m. Calculate the following: The change in length Ax The angular frequency (w) The frequency (f) The...
1. According to Hooke's law, the force exerted by a spring is proportional to the amount of stretch (or change in length Ax) and is given by F = -KAx, where the minus sign indicates it is a restoring force. If a force of 120 N acts on a mass 250 g attached to a spring of constant K = 54.55 x 10 N/m. Calculate the following: The change in length Ax The angular frequency (w) The frequency (f) The...
Consider a spring of mass 1 Kg attached to a spring obeying
Hooke's Law with spring constant K
Problem 4. (15 pts) Consider a spring of mass 1 kg attached to a spring obeying Hooke's Law with spring constant k N/m. Suppose an external force F(t) = 2 cos 3t is applied to the mass, and suppose the spring experiences no damping. Suppose the spring can be displaced 0.2 m by a 1.8 N force. If the spring is stretched...
(1 point) Finding the work done in stretching or compressing a spring. Hooke's Law for Springs. According to Hooke's law, the force required to compress or stretch a spring from an equilibrium position is given by F(x) = kx, for some constant k. The value of k (measured in force units per unit length) depends on the physical characteristics of the spring. The constant k is called the spring constant and is always positive. Part 1. Suppose that it takes...
QUESTIONS Using Hooke's law, calculate the stretching frequency of a C-D bond if the stretching frequency of a C-H bond is 3040 cm-1 2030 cm-1 2130 cm-1 2230 cm-1 2330 cm-1 2430 cm-1
Consider a mass m suspended from a massless spring that obeys Hooke's Law (i.e. the force required to stretch or compress it is proportional to the distance stretched/compressed). The kinetic energy T of the system is mv2/2, where v is the velocity of the mass, and the potential energy V of the system is kr-/2, where k is the spring constant and x is the displacement of the mass from its gravitational equilibrium position. Using Lagrange's equations for mechanics (with...
this picture shows the question and ask to derive differential
equation based on the law
QUESTION 1 a) Consider a flexible spring is suspended vertically from a rigid support and a mass m is attached to its free end. s and x are the amount of elongation and displacement respectively. The two parameters involved are constant of proportionality, k and acceleration of gravity, g. Derive the differential equation of free undamped motion using the appropriate physical laws. {Hint: Hooke's law...
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