does the distance travelled by an oscillating mass between times t=0 and t2 equal the displacement...
Homework Answers
No it will not be same as in T/2 time particle just return to its initial position from where it has started. And hence displacement at this moment will be zero but distance is not zero and further distance will add but will always be greater than displacement
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does the distance travelled by an oscillating mass between times t=0 and t2 equal the displacement...
Question 5 Does the distance travelled by an oscillating mass between times tl = 0 and t2 equal the displacement of...
Question 5 Does the distance travelled by an oscillating mass between times tl = 0 and t2 equal the displacement of the particle over the same time period if t2> T2? Hint: Consider a sine w starting at t' = 0, then consider a cosine wave starting at h = 0, for your explanation.
Question 5 Does the distance travelled by an oscillating mass between times tl = 0 and t2 equal the displacement of the particle over the same...
The answers says that the distance travelled is 0.30m? why is that? Could you mark in...
The answers says that the
distance travelled is 0.30m? why is that? Could you mark in the
drawing? What does this two wave lines mean?How can you see that
the displacement is negative and that the direction is to the
left?
4. A longitudinal wave is travelling in a medium from left to right. The graph shows the variation with distance x of the displacement y of the particles in the medium. The solid line and the dotted line show...
A mass is oscillating up and down at the end of a spring. A graph of...
A mass is oscillating up and down at the end of a spring. A
graph of displacement as a function of time is shown where up is
the positive direction.
a) What is the period of this motion? Explain
b) At which point or points is the acceleration positive?
Explain
c) At which point or points does the mass have a zero velocity
but nonzero net force? Explain
d) At which point or points is the net force on the...
6. A spring-mass system is oscillating under no external force, with a damping constant equal to...
6. A spring-mass system is oscillating under no external force, with a damping constant equal to 2 and spring constant equal to 1. If at t = 0 we release (x'(0) = 0) the mass from a stretched position at a displacement of x(0) = 3. Write down the modelling ODE and solve it to find the solution. What will happen eventually to the system? Is it overdamped or undedamped? Will it oscillate?
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the part...
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the particle at time t 4. b) Find all times t in the open interval 0<t <5 at which the particle changes direction. During which time intervals, for 0st s 5, does the particle travel to the left? c) Find...
2. Following problem 1, the same spring-mass is oscillating, but the friction is involved. The spring-mass starts oscillating at the top so that its displacement function is x Ae-yt cos(wt)...
2. Following problem 1, the same spring-mass is oscillating, but the friction is involved. The spring-mass starts oscillating at the top so that its displacement function is x Ae-yt cos(wt)t is observed that after 5 oscillation, the amplitude of oscillations has dropped to three-quarter (three-fourth) of its initial value. (a) 2 pts] Estimate the value ofy. Also, how long does it take the amplitude to drop to one-quarter of initial value? 0 Co [2 pts] Estimate the value of damping...
The distance or displacement y of a weight attached to an oscillating spring from its natural...
The distance or displacement y of a weight attached to an oscillating spring from its natural position is modeled by y = 4 cos 2Pit, where t is time in seconds. Potential energy is the energy of position and is given by P = ky^2, where k is a constant. The weight has the greatest potential energy when the spring is strenched the most.
Data Trial 1 Trial 2 Trial 3 Distance travelled by mass, S (m) [Same for each trial) 05 m 0.5 m 0...
Data Trial 1 Trial 2 Trial 3 Distance travelled by mass, S (m) [Same for each trial) 05 m 0.5 m 0.5 m Total mass moved (M+m) (KG) 03284 .?'to. same in all trials Hanging mass (m) [different in each trial] Time between gates, t (sec) 14 It% |t2-O-68 t3 #0.99 d Experimental Acceleration, dexp (m/s) (use: S vot t ^at2) 4 165 mls try to make vo Theoretical Acceleration, athe (m/s2) (use: aINM+m Difference (%) mg 15.3 Task 1:...
A mass is oscillating up and down at the end of a spring similar to Activity...
A mass is oscillating up and down at the end of a spring similar to Activity 2. A graph of displacement as a function of time is shown where up is the positive direction O-4 time (s) 1. What is the period of this motion? Explain your reasoning. 2. At which point or points is the acceleration positive? Explain your reasoning. 3. At which point or points does the mass have a zero velocity but nonzero net force? Explain your...
A mass is attached to a spring & is oscillating up & down. The position of...
A mass is attached to a spring & is oscillating up & down. The position of the oscillating mass is given by... y=(3.2 cm)*Cos[2*3.14*t/(0.58 sec)]; where t is time. Determine (a) the period of this motion; (b) the first time the mass is at position y=0. Please show all work.
Question 5 Does the distance travelled by an oscillating mass between times tl = 0 and t2 equal the displacement of the particle over the same time period if t2> T2? Hint: Consider a sine w starting at t' = 0, then consider a cosine wave starting at h = 0, for your explanation.
Question 5 Does the distance travelled by an oscillating mass between times tl = 0 and t2 equal the displacement of the particle over the same...
The answers says that the
distance travelled is 0.30m? why is that? Could you mark in the
drawing? What does this two wave lines mean?How can you see that
the displacement is negative and that the direction is to the
left?
4. A longitudinal wave is travelling in a medium from left to right. The graph shows the variation with distance x of the displacement y of the particles in the medium. The solid line and the dotted line show...
A mass is oscillating up and down at the end of a spring. A
graph of displacement as a function of time is shown where up is
the positive direction.
a) What is the period of this motion? Explain
b) At which point or points is the acceleration positive?
Explain
c) At which point or points does the mass have a zero velocity
but nonzero net force? Explain
d) At which point or points is the net force on the...
6. A spring-mass system is oscillating under no external force, with a damping constant equal to 2 and spring constant equal to 1. If at t = 0 we release (x'(0) = 0) the mass from a stretched position at a displacement of x(0) = 3. Write down the modelling ODE and solve it to find the solution. What will happen eventually to the system? Is it overdamped or undedamped? Will it oscillate?
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the particle at time t 4. b) Find all times t in the open interval 0<t <5 at which the particle changes direction. During which time intervals, for 0st s 5, does the particle travel to the left? c) Find...
2. Following problem 1, the same spring-mass is oscillating, but the friction is involved. The spring-mass starts oscillating at the top so that its displacement function is x Ae-yt cos(wt)t is observed that after 5 oscillation, the amplitude of oscillations has dropped to three-quarter (three-fourth) of its initial value. (a) 2 pts] Estimate the value ofy. Also, how long does it take the amplitude to drop to one-quarter of initial value? 0 Co [2 pts] Estimate the value of damping...
The distance or displacement y of a weight attached to an oscillating spring from its natural position is modeled by y = 4 cos 2Pit, where t is time in seconds. Potential energy is the energy of position and is given by P = ky^2, where k is a constant. The weight has the greatest potential energy when the spring is strenched the most.
Data Trial 1 Trial 2 Trial 3 Distance travelled by mass, S (m) [Same for each trial) 05 m 0.5 m 0.5 m Total mass moved (M+m) (KG) 03284 .?'to. same in all trials Hanging mass (m) [different in each trial] Time between gates, t (sec) 14 It% |t2-O-68 t3 #0.99 d Experimental Acceleration, dexp (m/s) (use: S vot t ^at2) 4 165 mls try to make vo Theoretical Acceleration, athe (m/s2) (use: aINM+m Difference (%) mg 15.3 Task 1:...
A mass is oscillating up and down at the end of a spring similar to Activity 2. A graph of displacement as a function of time is shown where up is the positive direction O-4 time (s) 1. What is the period of this motion? Explain your reasoning. 2. At which point or points is the acceleration positive? Explain your reasoning. 3. At which point or points does the mass have a zero velocity but nonzero net force? Explain your...
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