Homework Answers
we can get the maximum position of the object by using relation
of velocity, angular frequency, amplitude and position as solved
below
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Part C An object of mass 4 grams hanging at the bottom of a spring with...
An object of mass 4 grams hanging at the bottom of a spring with a spring...
An object of mass 4 grams hanging at the bottom of a spring with a spring constant 3 grams per second square. Denote by y vertical coordinate, positive downwards and y 0 is the spring-mass resting position. TTA (a) Write the differential equation satisfied by this system Note: Write t for t, write y for y(t), and yp for y' (t). (b) Find the mechanical energy E of this system. 2(yp)2+3/2y 2 Note: Write t for t, write y for...
An object of mass 33 grams is attached to a vertical spring with spring constant 48grams/sec248grams/sec2....
An object of mass 33 grams is attached to a vertical spring with
spring constant 48grams/sec248grams/sec2. Neglect any friction with
the air.
Problem Value: 10 point(s). Problem Score: 0%. Attempts Remaining: 25 attempts. Help Entering Answers See Example 2.2.7, in Section 2.2, in the MTH 235 Lecture Notes. (10 points) An object of mass 3 grams is attached to a vertical spring with spring constant 48 grams/sec. Neglect any friction with the air. (a) Find the differential equation y' =...
An object of mass 3 grams is attached to a vertical spring with spring constant 27...
An object of mass 3 grams is attached to a vertical spring with spring constant 27 grams/seca. Neglect any friction with the air. (a) Find the differential equation y = fly, y) satisfied by the function y, the displacement of the object from its equilibrium position, positive downwards. Write y for y(t) and yp for y' (t). y = (b) Find rı,r2, roots of the characteristic polynomial of the equation above. ru,r2 = (b) Find a set of real-valued fundamental...
An object of mass m 5 kilograms falls vertically to the ground under the action of...
An object of mass m 5 kilograms falls vertically to the ground under the action of the earth gravitational acceleration of magnitude g 10 meters per second squared. Denote by y vertical coordinate, positive upwards, and let y 0 be at the earth surface. Recall that the force on the object in this situation is f--mg, where the negative sign says the force points downwards. (a) Write the differential equation satisfied by this system. y"-10 Note: Write t for t,...
second square is moving in a liquid with damping constant 3 grams per second. Denote by...
second square is moving in a liquid with damping constant 3 grams per second. Denote by y vertical coordinate, positive downwards, and y 0 is the spring-mass resting position. (a) Write the differential equation satisfied by this system. y" Note: Write t for t, write y for y(t), and yp for y' (t). (b) Find the mechanical energy E of this system E(t) Note: Write t for t, write y for y(t), and yp for y' (t). (c) Find the...
a) A hanging spring stretches by 35.0 cm when an object of mass 450 g is...
a) A hanging spring stretches by 35.0 cm when an object of mass 450 g is hung on it at rest. In this situation, we define its position as x =0. The object is pulled down an additional 18.0 cm and released from rest to oscillate without friction. What is its position x at a moment 84.4 s later? (b) Find the distance traveled by the vibrating object in part (a). (c) What If? Another hanging spring stretches by 35.5...
A 189-kg mass, when attached to the end of a spring hanging vertically, stretches the spring...
A 189-kg mass, when attached to the end of a spring hanging vertically, stretches the spring 9 m. The mass is in a medium that exerts a viscous resistance of 3024 N when the mass has a velocity of 4 m/sec. Assume the mass is given an initial velocity of 14 m/s from the equilibrium position. a) Determine the spring constant k. Use g = 10 m/sec. k b) Determine the damping coeffient 7. 7 c) If the initial value...
A 288-kg mass, when attached to the end of a spring hanging vertically, stretches the spring...
A 288-kg mass, when attached to the end of a spring hanging vertically, stretches the spring 8 m. The mass is in a medium that exerts a viscous resistance of 576 N when the mass has a velocity of 4 m/sec. Assume the mass is given an initial velocity of 18 m/s from the equilibrium position. a) Determine the spring constant k. Use g = 10 m/sec. k b) Determine the damping coeffient 7. 7= c) If the initial value...
A 1.8 kg object oscillates at the end of a vertically hanging light spring once every 0.40 s . Part A Write down the equation giving its position y (+ upward) as a function of time t. Assume the...
A 1.8 kg object oscillates at the end of a vertically hanging light spring once every 0.40 s . Part A Write down the equation giving its position y (+ upward) as a function of time t. Assume the object started by being compressed 16 cm from the equilibrium position (where y = 0), and released. Note: the equilibrium position is defined here as that location of the mass at rest when it is freely hung from the spring, not...
We know that a force of 7.2 Newtons is required to stretch a certain spring 0.8...
We know that a force of 7.2 Newtons is required to stretch a certain spring 0.8 meters beyond its natural length. Questions Q1 (0/10) A 2.56-kg mass is attached to this spring and allowed to come to equilibrium. The mass-spring system is then set in motion by applying a push in the upward direction that gives the mass an initial velocity of 1.15 meters per second. Q2 (0/10) Q3 (0/10) Q4 (0/10) Q5 (0/10) Q6 (0/10) Let y(t) represent the...
An object of mass 4 grams hanging at the bottom of a spring with a spring constant 3 grams per second square. Denote by y vertical coordinate, positive downwards and y 0 is the spring-mass resting position. TTA (a) Write the differential equation satisfied by this system Note: Write t for t, write y for y(t), and yp for y' (t). (b) Find the mechanical energy E of this system. 2(yp)2+3/2y 2 Note: Write t for t, write y for...
An object of mass 33 grams is attached to a vertical spring with
spring constant 48grams/sec248grams/sec2. Neglect any friction with
the air.
Problem Value: 10 point(s). Problem Score: 0%. Attempts Remaining: 25 attempts. Help Entering Answers See Example 2.2.7, in Section 2.2, in the MTH 235 Lecture Notes. (10 points) An object of mass 3 grams is attached to a vertical spring with spring constant 48 grams/sec. Neglect any friction with the air. (a) Find the differential equation y' =...
An object of mass 3 grams is attached to a vertical spring with spring constant 27 grams/seca. Neglect any friction with the air. (a) Find the differential equation y = fly, y) satisfied by the function y, the displacement of the object from its equilibrium position, positive downwards. Write y for y(t) and yp for y' (t). y = (b) Find rı,r2, roots of the characteristic polynomial of the equation above. ru,r2 = (b) Find a set of real-valued fundamental...
An object of mass m 5 kilograms falls vertically to the ground under the action of the earth gravitational acceleration of magnitude g 10 meters per second squared. Denote by y vertical coordinate, positive upwards, and let y 0 be at the earth surface. Recall that the force on the object in this situation is f--mg, where the negative sign says the force points downwards. (a) Write the differential equation satisfied by this system. y"-10 Note: Write t for t,...
second square is moving in a liquid with damping constant 3 grams per second. Denote by y vertical coordinate, positive downwards, and y 0 is the spring-mass resting position. (a) Write the differential equation satisfied by this system. y" Note: Write t for t, write y for y(t), and yp for y' (t). (b) Find the mechanical energy E of this system E(t) Note: Write t for t, write y for y(t), and yp for y' (t). (c) Find the...
A 189-kg mass, when attached to the end of a spring hanging vertically, stretches the spring 9 m. The mass is in a medium that exerts a viscous resistance of 3024 N when the mass has a velocity of 4 m/sec. Assume the mass is given an initial velocity of 14 m/s from the equilibrium position. a) Determine the spring constant k. Use g = 10 m/sec. k b) Determine the damping coeffient 7. 7 c) If the initial value...
A 288-kg mass, when attached to the end of a spring hanging vertically, stretches the spring 8 m. The mass is in a medium that exerts a viscous resistance of 576 N when the mass has a velocity of 4 m/sec. Assume the mass is given an initial velocity of 18 m/s from the equilibrium position. a) Determine the spring constant k. Use g = 10 m/sec. k b) Determine the damping coeffient 7. 7= c) If the initial value...
We know that a force of 7.2 Newtons is required to stretch a certain spring 0.8 meters beyond its natural length. Questions Q1 (0/10) A 2.56-kg mass is attached to this spring and allowed to come to equilibrium. The mass-spring system is then set in motion by applying a push in the upward direction that gives the mass an initial velocity of 1.15 meters per second. Q2 (0/10) Q3 (0/10) Q4 (0/10) Q5 (0/10) Q6 (0/10) Let y(t) represent the...
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