A student is observing the....
4. A student is observing the oscillations of a mass on the end of a spring. The spring has a force constant of 6 x 10-5N/m, and the mass is 0.15 kg. She pulls it 6 cm below equilibrium and lets it go. She now writes an equation which she believes describes the motion of the mass. In her description, the y axis is vertical, and UP is positive. Her equation is
y = (3 cm) sin ( 0.02 sec-1 t + 3.14)
(A) Does she have the amplitude right? If not, what was right? If yes, explain.
(B) Does she have the frequency right? If not, what was right? If yes, explain.
(C) Does she have the phase angle right? If not, what was right? If yes, explain.
Homework Answers
Pendulum Clocks Are Very Important...
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A block of mass 0.125 kg is hanging on a spring. Nora gently pulls the mass...
A block of mass 0.125 kg is hanging on a spring. Nora gently pulls the mass down a distance of 3.6 cm and then lets go. The mass bobs up and down in simple harmonic motion (i.e. it oscillates) with a period of 0.47 s. (a) What is the value of the spring constant? N/m Nora stops the mass from oscillating. She gently pulls the mass down again, this time to a distance of 4.6 cm, and lets the mass...
A.The earth's acceleration due to gravity varies from 9.780 m/s2 at the equator to 9.832 m/s2...
A.The earth's acceleration due to gravity varies from 9.780 m/s2 at the equator to 9.832 m/s2 at the poles. A pendulum whose length is precisely 1.000 m can be used to measure g. Such a device is called a gravimeter. a. How long do 100 oscillations take at the equator? b.How long do 100 oscillations take at the north pole? B) An infant's toy has a 120 g wooden animal hanging from a spring. If pulled down gently, the animal...
Can you explain in detail and clear please Part A An infant's toy has a 120...
Can you explain in detail and clear please
Part A An infant's toy has a 120 g wooden animal hanging from a spring. If pulled down gently, the animal oscillates up and down with a period of 0.51 s.His older sister pulls the spring a bit more than intended. She puls the animal 35 cm below its equilibrium position, then lets go. The animal fies upward and detaches from the spring right at the animal's equilibrium position. the animal does...
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For a mass-spring oscillator, Newton's second law implies that the position y(t) of the mass is...
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1. The position of an object is given by the function F(t) -cos(0.250.5) (a) What is...
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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...
+ PSS: Simple Harmonic Motion II: Energy ① 2 0f7 Constants Learning Goal: Part B To...
+ PSS: Simple Harmonic Motion II: Energy ① 2 0f7 Constants Learning Goal: Part B To practice Problem Solving Strategy: Simple Harmonic Motion Il: Energy A child's toy consists of a spherical object of mass 50 g attached to a spring. One end of the spring is fixed to the side of the baby's crib so that when the baby pulls on the toy and lets go, the object oscillates horizontally with a simple harmonic motion. The amplitude of the...
Can someone please help with 1) part A of top and 2) part B of bottom?...
Can someone please help with 1) part A of top and 2) part B of
bottom? Can't seem to get them!
Part a A 0.561-kg ball is hung vertically from a spring. The spring stretches by 5.38 cm from its natural length when the ball is hanging at equilibrium. A child comes along and pulls the ball down an additional 5cm, then lets go. How long (in seconds) will t take the ball to swing up and down exactly 4...
A block of mass 0.125 kg is hanging on a spring. Nora gently pulls the mass down a distance of 3.6 cm and then lets go. The mass bobs up and down in simple harmonic motion (i.e. it oscillates) with a period of 0.47 s. (a) What is the value of the spring constant? N/m Nora stops the mass from oscillating. She gently pulls the mass down again, this time to a distance of 4.6 cm, and lets the mass...
Can you explain in detail and clear please
Part A An infant's toy has a 120 g wooden animal hanging from a spring. If pulled down gently, the animal oscillates up and down with a period of 0.51 s.His older sister pulls the spring a bit more than intended. She puls the animal 35 cm below its equilibrium position, then lets go. The animal fies upward and detaches from the spring right at the animal's equilibrium position. the animal does...
For a mass-spring oscillator, Newton's second law implies that the position y(t) of the mass is governed by the second-order differential equation my'' (t) + by' (t) + ky(t) = 0. (a) Find the equation of motion for the vibrating spring with damping if m= 10 kg, b = 100 kg/sec, k = 260 kg/sec?. y(0) = 0.3 m, and y'(0) = -0.4 m/sec. (b) After how many seconds will the mass in part (a) first cross the equilibrium point?...
1. The position of an object is given by the function F(t) -cos(0.250.5) (a) What is the amplitude, frequency, and period of the motion? (b) What is the position of the object at t-0s and 0.2s? (c) Plot F(t) as a function of t, for 0 st 4π 2. The position of the motion of the bob in a simple pendulum in radians is given by What is the amplitude, frequency, and period of the motion? 3. A man enters...
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...
+ PSS: Simple Harmonic Motion II: Energy ① 2 0f7 Constants Learning Goal: Part B To practice Problem Solving Strategy: Simple Harmonic Motion Il: Energy A child's toy consists of a spherical object of mass 50 g attached to a spring. One end of the spring is fixed to the side of the baby's crib so that when the baby pulls on the toy and lets go, the object oscillates horizontally with a simple harmonic motion. The amplitude of the...
Can someone please help with 1) part A of top and 2) part B of
bottom? Can't seem to get them!
Part a A 0.561-kg ball is hung vertically from a spring. The spring stretches by 5.38 cm from its natural length when the ball is hanging at equilibrium. A child comes along and pulls the ball down an additional 5cm, then lets go. How long (in seconds) will t take the ball to swing up and down exactly 4...
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