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...
1. Pendulum clocks are very important for the history of exploration. Accurate time was the best way to determine one's longitude, since the time of sunrise or sunset depends sensitively on your longitude. In this regard, the great enemy of accuracy was thermal expansion of the pendulum used for the chronometer. We are considering a large mass attached at the end of a brass rod. The mass at the end is much greater than the mass of the rod, so we...
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...
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...
1. An auto CD rotates at 480 rpm (rev/min). What is the period and frequency of...
1. An auto CD rotates at 480 rpm (rev/min). What is the period and frequency of the CD? 2. In physics class, your teacher shows you a demonstration of a spring � mass system. A spring is connected to a cart on an air track. She moves the cart 0.15 m from its equilibrium position and lets go at t = 0. The cart completes 1 oscillation every 3.0 seconds. What is the position of the cart at 0.30 seconds?...
1. The position of an object is given by the function F(t) -cos(0.250.5) (a) What is...
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...
For a mass-spring oscillator, Newton's second law implies that the position y(t) of the mass is...
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(0.25mt + 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...
Please do not answer unless you are sure it is correct. thank you. " A mass...
Please do not answer unless you are sure it is correct. thank
you.
" A mass hanging from a vertical spring is somewhat more complicated than a mass attached to a horizontal spring because the gravitational force acts along the direction of motion. Therefore, the restoring force of the oscillations is not provided by the spring force alone, but by the net force resulting from both the spring force and the gravitational force. Ultimately, however, the physical quantities of motion...
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...
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...
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(0.25mt + 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...
Please do not answer unless you are sure it is correct. thank
you.
" A mass hanging from a vertical spring is somewhat more complicated than a mass attached to a horizontal spring because the gravitational force acts along the direction of motion. Therefore, the restoring force of the oscillations is not provided by the spring force alone, but by the net force resulting from both the spring force and the gravitational force. Ultimately, however, the physical quantities of motion...
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