The angle of a pendulum is given by θ(t)=( 0.14 rad )cos( 4.0 t) , where...
The angle of a pendulum is given by
θ(t)=( 0.14 rad )cos( 4.0 t) ,
where t is in seconds.
A) Determine the amplitude.
B)Determine the frequency.
C)Determine the length of the string.
D)Determine the angle at 1.0 s .
Homework Answers
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The angle of a pendulum is given by
θ(t)=( 0.14 rad )cos( 4.0 t) ,
where...
P4. A clock keeps time using the periodic motion of a simple pendulum. The pendulum consists...
P4. A clock keeps time using the periodic motion of a simple pendulum. The pendulum consists of a string of length L and a bob of mass m-5.00 kg attached to the end of the string. The pendulum has a period T-1.00 s. The initial angle (0) at 0 is equal to 0.175 rad. The bob is released from rest (i.e. -0) at -0. The angle between the string and the vertical is given by the equation: e-a cos (or...
Now damping is introduced and the angle θ is given by the equation: θ-ae" cos(or + φ). It is observed that after one hour the maximum angle of the pendulum has reduced to 0.122 rad due to the dam...
Now damping is introduced and the angle θ is given by the equation: θ-ae" cos(or + φ). It is observed that after one hour the maximum angle of the pendulum has reduced to 0.122 rad due to the damping force. e. (6) Calculate the coefficient α .
Now damping is introduced and the angle θ is given by the equation: θ-ae" cos(or + φ). It is observed that after one hour the maximum angle of the pendulum has reduced to...
2. For the simple pendulum shown in Figure 2, the nonlinear equations of motion are given by θ(t)...
do (b) and (c) only.
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(1 point) Suppose a pendulum of length L meters makes an angle of θ radians with the vertical, as n the figure t can be...
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The position of a particle is given by the expression x = 4.00 cos (6.00πt +...
The position of a particle is given by the expression x = 4.00 cos (6.00πt + π), where x is in meters and t is in seconds. (a) Determine the frequency. Incorrect: Your answer is incorrect. How is the frequency related to the angular frequency? Hz (b) Determine period of the motion. Incorrect: Your answer is incorrect. How is the period related to the frequency? s (c) Determine the amplitude of the motion. Incorrect: Your answer is incorrect. The amplitude...
The angle (with respect to the vertical) of a simple pendulum is given by theta =...
The angle (with respect to the vertical) of a simple pendulum is given by theta = theta_m cos[(4.98 rad/s)t + phi]. If at t = 0, theta = 0.0450 rad and d theta/dt = -0.220 rad/s, what are (a) the phase constant phi and (b) the maximum angle theta_m? (a) Number 44 unit This answer has no units (b) Number 0.0630 Units This answer has no units
1. The position of an object is given by the function: F(t) = cos(0.25mt + 0.57...
1. The position of an object is given by the function: F(t) = cos(0.25mt + 0.57 (a) What is the amplitude, frequency, and period of the motion? (b) What is the position of the object at t 0s and t0.2s? (c) Plot F(t) as a function of t, for 0 St 4 2. The position of the motion of the bob in a simple pendulum in radians is given by θ(t)--3 cos(nt + π) What is the amplitude, frequency, and...
P4. A clock keeps time using the periodic motion of a simple pendulum. The pendulum consists of a string of length L and a bob of mass m-5.00 kg attached to the end of the string. The pendulum has a period T-1.00 s. The initial angle (0) at 0 is equal to 0.175 rad. The bob is released from rest (i.e. -0) at -0. The angle between the string and the vertical is given by the equation: e-a cos (or...
Now damping is introduced and the angle θ is given by the equation: θ-ae" cos(or + φ). It is observed that after one hour the maximum angle of the pendulum has reduced to 0.122 rad due to the damping force. e. (6) Calculate the coefficient α .
Now damping is introduced and the angle θ is given by the equation: θ-ae" cos(or + φ). It is observed that after one hour the maximum angle of the pendulum has reduced to...
do (b) and (c) only.
2. For the simple pendulum shown in Figure 2, the nonlinear equations of motion are given by θ(t) + 믈 sin θ(t) + m 0(t)-0 Pivot point L, length Massless rod , mass Figure 2. A simple pendulum 3. Consider again the pendulum of Figure 2 of problem 2 when g = 9.8 m/s, 1 = 4.9m, k =0.3, and (a) Determine whether the system is stable by finding the characteristic equation obtained from setting...
(1 point) Suppose a pendulum of length L meters makes an angle of θ radians with the vertical, as n the figure t can be shown that as a function of time, θ satisfies the differential equation d20 + sin θ-0, 9.8 m/s2 is the acceleration due to gravity For θ near zero we can use the linear approximation sine where g to get a linear di erential equa on d20 9 0 dt2 L Use the linear differential equation...
Exercise 9.7 The angle \(\theta\) through which a disk drive turns is given by \(\theta(t)=a+b t-c t^{3}\), where \(a, b\) and \(c\) are constants, \(t\) is in seconds, and \(\theta\) is in radians. When \(t=0, \theta=\pi / 4 \mathrm{rad}\) and the angular velocity is \(1.70 \mathrm{rad} / \mathrm{s}\), and when \(1.70 \mathrm{~s}\), the angular acceleration is \(1.35 \mathrm{rad} / \mathrm{s}^{2}\).Part EWhat is θ when the angular acceleration is 2.50 rad/s2?Part FWhat is the angular velocity when the angular acceleration is 2.50 rad/s2?
The angle (with respect to the vertical) of a simple pendulum is given by theta = theta_m cos[(4.98 rad/s)t + phi]. If at t = 0, theta = 0.0450 rad and d theta/dt = -0.220 rad/s, what are (a) the phase constant phi and (b) the maximum angle theta_m? (a) Number 44 unit This answer has no units (b) Number 0.0630 Units This answer has no units
1. The position of an object is given by the function: F(t) = cos(0.25mt + 0.57 (a) What is the amplitude, frequency, and period of the motion? (b) What is the position of the object at t 0s and t0.2s? (c) Plot F(t) as a function of t, for 0 St 4 2. The position of the motion of the bob in a simple pendulum in radians is given by θ(t)--3 cos(nt + π) What is the amplitude, frequency, and...
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