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Consider the following system. Two masses mi = m2 m are attached to a massless string of constant...
Problem 2: Consider two blocks of masses mi and m2 connected by a massless cable. The...
Problem 2: Consider two blocks of masses mi and m2 connected by a massless cable. The coefficient of kinetic friction between the mass m2 and the inclined surface is ud. The coordinates x and y measure the displacements of the two blocks such that x=y=0 when the system is at rest. Find a single differential equation of motion for the system in coordinate y. Ideal Pulley m2 d
Two blocks of masses Mi and M2 are connected by a massless string that passes over...
Two blocks of masses Mi and M2 are connected by a massless string that passes over a massless pulley (the figure below). M2, which has a mass of 20.0 kg, rests on a long ramp of angle 428.0°. Friction can be ignored in this problem. 1) What is the value of Mi for which the two blocks are in equilibrium (no acceleration)? (Express your answer to three significant figures.) 5.4 Submit Your submissions: 15.4 Computed value: 5.4 Feedback: Submitted: Friday,...
3. Consider the spring - mass system shown below, consisting of two masses mi and m2 sus- pended ...
3. Consider the spring - mass system shown below, consisting of two masses mi and m2 sus- pended from springs with spring constants ki and k2, respectively. Assume that there is no damping in the system. a) Show that the displacements ai and r2 of the masses from their respective equilibrium positions satisfy the differential equations b) Use the above result to show that the spring-mass system satisfies the following fourth order differential equation and c) Find the general solution...
You have two equal masses m1 and m2 and a spring with a spring constant k....
You have two equal masses m1 and m2 and a
spring with a spring constant k. The mass m1 is
connected to the spring and placed on a frictionless horizontal
surface at the relaxed position of the spring. You then hang mass
m2, connected to mass m1 by a
massless cord, over a pulley at the edge of the horizontal surface.
When the entire system comes to rest in the equilibrium position,
the spring is stretched an amount d1 as shown...
please both. thanks. Capture10.PNG 'Two masses mi = 10 kg and m2-8 kg are attached with...
please both. thanks.
Capture10.PNG 'Two masses mi = 10 kg and m2-8 kg are attached with a massless string and are arranged as in the figure bellow. m2 is on a horizontal table with coefficient of kinetic friction / = 0.25. Thea sydtem is cceleration of the two mass 5 a) a 2.82 m/s b) a 2.55 m/s2. c) a= 4.33 ml/s2 d) a = 1.80m/s 2. e) a = 3.25 m/s". Mk 20.2S noa,T tr Capture11.PNG sIn question 14)...
Problem 3. Consider two atoms with masses mi and m2, each moving along the x-direction, and that are connected by a har...
Problem 3. Consider two atoms with masses mi and m2, each moving along the x-direction, and that are connected by a harmonic spring with spring constant k and equilibrium length lo: mi m2 Ömimo → X1 X2 The Hamiltonian operator for this system is ÎN = Pí 1 2 1 2 +5k (ĉ2 – ĉ1 – 10)? 2m2' 2" 2m, and the time-independent Schrödinger equation for the two-atom wavefunction (x1, x2) is ÊV(21, x2) = EV (21, x2) This equation...
Problem 2: Consider two blocks of masses mi and m2 connected by a massless cable. The coefficient of kinetic friction between the mass m2 and the inclined surface is ud. The coordinates x and y measure the displacements of the two blocks such that x=y=0 when the system is at rest. Find a single differential equation of motion for the system in coordinate y. Ideal Pulley m2 d
Two blocks of masses Mi and M2 are connected by a massless string that passes over a massless pulley (the figure below). M2, which has a mass of 20.0 kg, rests on a long ramp of angle 428.0°. Friction can be ignored in this problem. 1) What is the value of Mi for which the two blocks are in equilibrium (no acceleration)? (Express your answer to three significant figures.) 5.4 Submit Your submissions: 15.4 Computed value: 5.4 Feedback: Submitted: Friday,...
3. Consider the spring - mass system shown below, consisting of two masses mi and m2 sus- pended from springs with spring constants ki and k2, respectively. Assume that there is no damping in the system. a) Show that the displacements ai and r2 of the masses from their respective equilibrium positions satisfy the differential equations b) Use the above result to show that the spring-mass system satisfies the following fourth order differential equation and c) Find the general solution...
You have two equal masses m1 and m2 and a
spring with a spring constant k. The mass m1 is
connected to the spring and placed on a frictionless horizontal
surface at the relaxed position of the spring. You then hang mass
m2, connected to mass m1 by a
massless cord, over a pulley at the edge of the horizontal surface.
When the entire system comes to rest in the equilibrium position,
the spring is stretched an amount d1 as shown...
please both. thanks.
Capture10.PNG 'Two masses mi = 10 kg and m2-8 kg are attached with a massless string and are arranged as in the figure bellow. m2 is on a horizontal table with coefficient of kinetic friction / = 0.25. Thea sydtem is cceleration of the two mass 5 a) a 2.82 m/s b) a 2.55 m/s2. c) a= 4.33 ml/s2 d) a = 1.80m/s 2. e) a = 3.25 m/s". Mk 20.2S noa,T tr Capture11.PNG sIn question 14)...
Problem 3. Consider two atoms with masses mi and m2, each moving along the x-direction, and that are connected by a harmonic spring with spring constant k and equilibrium length lo: mi m2 Ömimo → X1 X2 The Hamiltonian operator for this system is ÎN = Pí 1 2 1 2 +5k (ĉ2 – ĉ1 – 10)? 2m2' 2" 2m, and the time-independent Schrödinger equation for the two-atom wavefunction (x1, x2) is ÊV(21, x2) = EV (21, x2) This equation...
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