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7. Two Connected Toy Train Cars. 15 minutes. 10 points Two identical masses m on frictionless and...
Solve the following problems: Problem 1: masses&springs Two masses mand m2 connected by a spring of...
Solve the following problems:
Problem 1: masses&springs Two masses mand m2 connected by a spring of elastic constant k slide on a frictionless inclined plane under the effect of gravity. Let a be the angle between the the x axis and the inclined plane, r the distance between the two masses, l the position of the first mass with respect to the top of the plane (see figure). Considering the top of the plane to be the zero for potential...
Consider a system of two toy rail cars (i.e.. frictionless masses)- Suppose that car 1 has...
Consider a system of two toy rail cars (i.e.. frictionless masses)- Suppose that car 1 has mass 6 kg and is traveling at 3 m/s toward the other car- Suppose car 2 has mass 3 kg and is moving toward the other car at 9 m/s. There is a bumper on the second rail car that engages at the moment the cars hit and does not let go (it connects the two cars). The bumper acts as a spring with...
3. A Kicked Baton. 20 minutes. 15 points. Two identical masses m are connected by a...
3. A Kicked Baton. 20 minutes. 15 points. Two identical masses m are connected by a stick of length 2f and negligible mass (a baton), suspended in free space. Let it lie along the axis, masses at ±1. The mass at +1 is given an impulse Fdt -P directed in the ty direction. What is the behavior of the mass at -e immediately after the impulse? Answer the same question for the kicked mass at +t.
Two masses, each 25 kg, are connected by a cord and frictionless pulley. You give the...
Two masses, each 25 kg, are connected by a cord and frictionless pulley. You give the mass a push to the left, and let go. At the moment you release the mass, it is moving at a speed of 3.5m/s to the left. The mass slides across a table and stops, the coefficient of kinetic friction between the mass and the table is 0.22. Draw a force diagram for each mass (AFTER, you release it, but before it stops). Obtain...
I think I have most of this question set, but would appractite step by step explaination...
I think I have most of this
question set, but would appractite step by step explaination of
questions e), f), g), and h). Thanks!
Two masses m1and m2 connected by a spring of elastic constant k slide on a frictionless inclined plane under the effect of gravity. Let a be the angle between the the x axis and the inclined plane, r the distance between the two masses, l the position of the first mass with respect to the top...
4. Two objects of masses m/ and m2 are connected by a massless spring as shown...
4. Two objects of masses m/ and m2 are connected by a massless spring as shown in the figure below. The spring has a natural length of L and a stiffness of k. Owo a. If x is the extension of the spring by the horizontal motion of the masses, use Newton's second law to determine the equations of motion for each object. b. Combine these equations to show that the system oscillates at a frequency of - mįm2 w2...
4. Two masses mi and m2 are connected to three springs of negligible mass having spring constants...
4. Two masses mi and m2 are connected to three springs of negligible mass having spring constants k1, k2 and k3, respectively. x2=0 Il k, Let xi and x2 represent The motion of the equations: displacements of masses mi and m2 from their equilibrium positions . coupled system is represented by the system of second-order differential d2x dt2 d2x2 Using Laplace transform to solve the system when k1 1 and x1(0) = 0, xi (0)--1 , x2(0) = 0, x(0)-1....
Il You have two masses, ma 4.0kg, and ms 2.0kg. The masses are connected by a...
Il You have two masses, ma 4.0kg, and ms 2.0kg. The masses are connected by a wire, which passes over a massless, frictionless pulley. Due to friction between the mass ma and the table, the system does not move. The coefficient of static friction between ma and the table is 0.75 The coefficient of kinetic friction between ma and the table is 0.60 MA table тв (a) Obtain the tension in the wire. (b) Obtain the frictional force between ma...
5. 10 points Two ideal massless springs with spring constant k are connected to two masses...
5. 10 points Two ideal massless springs with spring constant k are connected to two masses that hang vertically as shown in the figure. The top one has mass 3m and the bottom one has mass 2m. The system is only able to oscillate in the vertical direction. a) Determine the equations of motion. (4 pts) b) Find the frequencies of the normal modes of this system for small vertical dis- placements. (4 pts) c) Describe the relative motion and...
I"1 You have two masses, mA -4.0 kg, and me 2.0kg. The masses are connected by...
I"1 You have two masses, mA -4.0 kg, and me 2.0kg. The masses are connected by a wire, which passes over a massless, frictionless pulley. does not move Due to friction between the mass ma and the table, the system The coefficient of static friction between ma and the table is 0.75 The coefficient of kinetic friction between ma and the table is 0.60 Le 2 (a) Obtain the tension in the wire. (b) Obtain the frictional force between m,...
Solve the following problems:
Problem 1: masses&springs Two masses mand m2 connected by a spring of elastic constant k slide on a frictionless inclined plane under the effect of gravity. Let a be the angle between the the x axis and the inclined plane, r the distance between the two masses, l the position of the first mass with respect to the top of the plane (see figure). Considering the top of the plane to be the zero for potential...
Consider a system of two toy rail cars (i.e.. frictionless masses)- Suppose that car 1 has mass 6 kg and is traveling at 3 m/s toward the other car- Suppose car 2 has mass 3 kg and is moving toward the other car at 9 m/s. There is a bumper on the second rail car that engages at the moment the cars hit and does not let go (it connects the two cars). The bumper acts as a spring with...
3. A Kicked Baton. 20 minutes. 15 points. Two identical masses m are connected by a stick of length 2f and negligible mass (a baton), suspended in free space. Let it lie along the axis, masses at ±1. The mass at +1 is given an impulse Fdt -P directed in the ty direction. What is the behavior of the mass at -e immediately after the impulse? Answer the same question for the kicked mass at +t.
Two masses, each 25 kg, are connected by a cord and frictionless pulley. You give the mass a push to the left, and let go. At the moment you release the mass, it is moving at a speed of 3.5m/s to the left. The mass slides across a table and stops, the coefficient of kinetic friction between the mass and the table is 0.22. Draw a force diagram for each mass (AFTER, you release it, but before it stops). Obtain...
I think I have most of this
question set, but would appractite step by step explaination of
questions e), f), g), and h). Thanks!
Two masses m1and m2 connected by a spring of elastic constant k slide on a frictionless inclined plane under the effect of gravity. Let a be the angle between the the x axis and the inclined plane, r the distance between the two masses, l the position of the first mass with respect to the top...
4. Two objects of masses m/ and m2 are connected by a massless spring as shown in the figure below. The spring has a natural length of L and a stiffness of k. Owo a. If x is the extension of the spring by the horizontal motion of the masses, use Newton's second law to determine the equations of motion for each object. b. Combine these equations to show that the system oscillates at a frequency of - mįm2 w2...
4. Two masses mi and m2 are connected to three springs of negligible mass having spring constants k1, k2 and k3, respectively. x2=0 Il k, Let xi and x2 represent The motion of the equations: displacements of masses mi and m2 from their equilibrium positions . coupled system is represented by the system of second-order differential d2x dt2 d2x2 Using Laplace transform to solve the system when k1 1 and x1(0) = 0, xi (0)--1 , x2(0) = 0, x(0)-1....
Il You have two masses, ma 4.0kg, and ms 2.0kg. The masses are connected by a wire, which passes over a massless, frictionless pulley. Due to friction between the mass ma and the table, the system does not move. The coefficient of static friction between ma and the table is 0.75 The coefficient of kinetic friction between ma and the table is 0.60 MA table тв (a) Obtain the tension in the wire. (b) Obtain the frictional force between ma...
5. 10 points Two ideal massless springs with spring constant k are connected to two masses that hang vertically as shown in the figure. The top one has mass 3m and the bottom one has mass 2m. The system is only able to oscillate in the vertical direction. a) Determine the equations of motion. (4 pts) b) Find the frequencies of the normal modes of this system for small vertical dis- placements. (4 pts) c) Describe the relative motion and...
I"1 You have two masses, mA -4.0 kg, and me 2.0kg. The masses are connected by a wire, which passes over a massless, frictionless pulley. does not move Due to friction between the mass ma and the table, the system The coefficient of static friction between ma and the table is 0.75 The coefficient of kinetic friction between ma and the table is 0.60 Le 2 (a) Obtain the tension in the wire. (b) Obtain the frictional force between m,...
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