A spring hands vertically. Someone attaches a .37kg weight at the other end. (gravity = 9.81m/s^2)...
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spring hands vertically. Someone attaches a .37kg weight at the
other end. (gravity = 9.81m/s^2)...
Problem #6: A 144lb weight stretches a spring 18 feet. The weight hangs vertically from the...
Problem #6: A 144lb weight stretches a spring 18 feet. The weight hangs vertically from the spring and a damping force numerically equal to 12 times the instantaneous velocity acts on the system. The weight is released from 9 feet above the equilibrium position with a downward velocity of 39 fts. (a) Determine the time (in seconds) at which the mass passes through the equilibrium position. (b) Find the time in seconds) at which the mass attains its extreme displacement...
2) A 2-pound weight attached to the end of a spring stretches it 6 inches. At...
2) A 2-pound weight attached to the end of a spring stretches it 6 inches. At t= 0 and from a position 8 inches below the equilibrium position the weight is given a upward velocity of 3/4 ft/s. a) Find the equation of motion. b) What are the amplitude and period of motion? c) How many complete vibrations will the weight have completed at the end of 6t? d) What is the position of the weight at t=5s with respect...
In an experiment, a student suspends a 950-g weight using a long spring mounted vertically to...
In an experiment, a student suspends a 950-g weight using a long spring mounted vertically to a lab stand, causing the spring to stretch as much as 12 cm after reaching equilibrium (at rest). She then pulls the weight at equilibrium position down for 8 cm and let go to set it into oscillation. Assuming this is an ideal system such that there is no loss (leaking) in energy such that the spring will oscillate forever. What is the maximum...
Please help with 4a and 4b 4. (8 marks) A spring of natural length L is...
Please help with 4a and 4b
4. (8 marks) A spring of natural length L is hung vertically with a mass of 2 kg attached to the end. 4(a) Assume that the friction is negligible and the spring constant is k 128. Find the position of the mass at time t, if the spring is pulled down 0.2m from its equilibrium position and released with velocity 0 at time t = 0. Flo)0.2 4(b) Assume that a spring, with an...
CE A Hooke's Law 1. Suppose the spring in Sample Problem A is replaced with a...
CE A Hooke's Law 1. Suppose the spring in Sample Problem A is replaced with a spring that stretches 36 cm from its equilibrium position. What is the spring constant in this case? b. Is this spring stiffer or less stiff than the one in Sample Problem A? a. SN/M less stiff . A load of 45 N attached to a spring that is hanging vertically stretches the spring 0.14 m. What is the spring constant? C
CE A Hooke's...
A spring is hung vertically, and an object of mass m = 1 kg attached at...
A spring is hung vertically, and an object of mass m = 1 kg attached at lower end stretches the spring to position xı= 20 cm. When the mass increases to my =1.5 kg the spring stretches to new position x2 = 33 cm. What is the period of the spring-mass system when a mass of 2 kg attached to it? Hint, use x1, X2 , m,,mto find spring constant k and use the value of k to find the...
A spring is hung vertically, and an object of mass m1= 1 kg attached at lower...
A spring is hung vertically, and an object of mass m1= 1 kg attached at lower end stretches the spring to position x1= 20 cm. When the mass increases to m2 =1.5 kg the spring stretches to new position x2 = 33 cm. What is the period of the spring-mass system when a mass of 2 kg attached to it? Hint, use x1, x2 , m1 ,m2 to find spring constant k and use the value of k to find the period of...
You have a light spring which obeys Hooke's law. This spring stretches 2.24 cm vertically when...
You have a light spring which obeys Hooke's law. This spring stretches 2.24 cm vertically when a 3.00 kg object is suspended from it. Determine the following. (a)the force constant of the spring (in N/m) N/m (b)the distance (in cm) the spring stretches if you replace the 3.00 kg object with a 1.50 kg object cm (c)the amount of work (in J) an external agent must do to stretch the spring 7.90 cm from its unstretched position J
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 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...
Problem #6: A 144lb weight stretches a spring 18 feet. The weight hangs vertically from the spring and a damping force numerically equal to 12 times the instantaneous velocity acts on the system. The weight is released from 9 feet above the equilibrium position with a downward velocity of 39 fts. (a) Determine the time (in seconds) at which the mass passes through the equilibrium position. (b) Find the time in seconds) at which the mass attains its extreme displacement...
2) A 2-pound weight attached to the end of a spring stretches it 6 inches. At t= 0 and from a position 8 inches below the equilibrium position the weight is given a upward velocity of 3/4 ft/s. a) Find the equation of motion. b) What are the amplitude and period of motion? c) How many complete vibrations will the weight have completed at the end of 6t? d) What is the position of the weight at t=5s with respect...
Please help with 4a and 4b
4. (8 marks) A spring of natural length L is hung vertically with a mass of 2 kg attached to the end. 4(a) Assume that the friction is negligible and the spring constant is k 128. Find the position of the mass at time t, if the spring is pulled down 0.2m from its equilibrium position and released with velocity 0 at time t = 0. Flo)0.2 4(b) Assume that a spring, with an...
CE A Hooke's Law 1. Suppose the spring in Sample Problem A is replaced with a spring that stretches 36 cm from its equilibrium position. What is the spring constant in this case? b. Is this spring stiffer or less stiff than the one in Sample Problem A? a. SN/M less stiff . A load of 45 N attached to a spring that is hanging vertically stretches the spring 0.14 m. What is the spring constant? C
CE A Hooke's...
A spring is hung vertically, and an object of mass m = 1 kg attached at lower end stretches the spring to position xı= 20 cm. When the mass increases to my =1.5 kg the spring stretches to new position x2 = 33 cm. What is the period of the spring-mass system when a mass of 2 kg attached to it? Hint, use x1, X2 , m,,mto find spring constant k and use the value of k to find the...
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 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...
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