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1. A pendulum of length L and mass M has a spring of force constant k...
A pendulum of length L and mass M has a spring of force constant k connected to it at a distance h bel...
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 bel...
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...
2. A transverse wave with wavelength λ 2 m and frequency f 25 Hz propagates down a wire. A one me...
2. A transverse wave with wavelength λ 2 m and frequency f 25 Hz propagates down a wire. A one meter section of the wire has a mass of 10 grams. Each period 1 Joule of kinetic energy is carried by the wave past the point marked C. What are (a) the tension on the wire and (b) the wave amplitude? Hint 1: How many wavelengths pass C in one period? Hint 2: Consider first the kinetic energy in small...
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...
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.
The force of constant of a spring of spring pendulum is 50N/m. A block of mass...
The force of constant of a spring of spring pendulum is 50N/m. A block of mass 0.5 kg, attached to it is pulled through a distance of 0.01 m before being released. Calculate the following expressions: a) the time period and frequency b) velocity amplitude and acceleration amplitude; c) the time required by the block to move half-way towards the center from its initial position d) total energy of the system.
A simple pendulum has a length L and a mass m. At its highest point, the...
A simple pendulum has a length L and a mass m. At its highest point, the pendulum mass is 0.25L above its lowest point (see figure below). What is the speed of the mass when it is at its lowest point? Express your answer in terms of m, L, and g. v = The position of a mass-on-a-spring oscillator is given by y = A sin(20t), where the value of t is in seconds and A = 0.44 m. What...
A pendulum has a length l = 0.4m and mass of 0.5 kg. a) Find the...
A pendulum has a length l = 0.4m and mass of 0.5 kg. a) Find the angular frequency of vibration, w, for small displacements. b) A friction term is now added to part A. The force of friction = -b(dx/dt) where b = 3 Ns/m. Find the new w. c) If the mass is displaced an initial distance of 0.02 m at t = 0 and released from rest, write an expression for x(t).
mass vibrates on an ideal spring as illustrated below. The total energy of the spring is...
mass vibrates on an ideal spring as illustrated below. The total energy of the spring is 100 J. What is the kinetic energy of the mass at point P, halfway between the equilibrium point and the amplitude? P Equilibrium A. 50 J B. 200 J C. 75 J D. 100 J E. 25 J When a weight Wis hanging from a light vertical string, the speed of pulses on the string is v. If a second weight Wis added without...
A mass vibrates on an ideal spring as illustrated below. The total energy of the spring...
A mass vibrates on an ideal spring as illustrated below. The total energy of the spring is 100 J. What is the kinetic energy of the mass at point P, halfway between the equilibrium point and the amplitude? P Equilibrium A. 50 J B. 200 J C. 75 J D. 100 J E. 25 J When a weight Wis hanging from a light vertical string, the speed of pulses on the string is v. If a second weight Wis added...
A pendulum consists of a mass m suspended from a string of length L. When the...
A pendulum consists of a mass m suspended from a string of length L. When the pendulum is swinging, how much greater is the mass’s potential energy when the string is displaced from the vertical by the angle θ than when the mass is at the lowest position?
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...
2. A transverse wave with wavelength λ 2 m and frequency f 25 Hz propagates down a wire. A one meter section of the wire has a mass of 10 grams. Each period 1 Joule of kinetic energy is carried by the wave past the point marked C. What are (a) the tension on the wire and (b) the wave amplitude? Hint 1: How many wavelengths pass C in one period? Hint 2: Consider first the kinetic energy in small...
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 simple pendulum has a length L and a mass m. At its highest point, the pendulum mass is 0.25L above its lowest point (see figure below). What is the speed of the mass when it is at its lowest point? Express your answer in terms of m, L, and g. v = The position of a mass-on-a-spring oscillator is given by y = A sin(20t), where the value of t is in seconds and A = 0.44 m. What...
A mass vibrates on an ideal spring as illustrated below. The total energy of the spring is 100 J. What is the kinetic energy of the mass at point P, halfway between the equilibrium point and the amplitude? P Equilibrium A. 50 J B. 200 J C. 75 J D. 100 J E. 25 J When a weight Wis hanging from a light vertical string, the speed of pulses on the string is v. If a second weight Wis added...
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