Question

The mass m1 on a smooth table is connected to the mass m2 which moves only...

The mass m1 on a smooth table is connected to the mass m2 which moves only in the vertical direction by an inextensible L-length rope passing through a hole in the table. Answer the following by ignoring the friction in the system.
a) What are the generalized coordinates of the system. Write the Lagrangian of the system using these coordinates.
b) Find the conservative values of the system.
c) Obtain the equations of motion of the system and discuss what these equations mean.
d) Solve the Lagrange equations. Assume that the masses do not pass through the hole.

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Two masses M1 and M2 are connected by an inextensible flexible massless string. The mass rests...
Two masses M1 and M2 are connected by an inextensible flexible massless string. The mass rests on a table with frictional co-efficient 0.2. The string passes over a smooth fixed pulley as shown. Initially the string is slack The mass M2 is allowed to fall freely from rest. The string becomes taught when the mass M2 falls through 50 cm. The two masses subsequently move with common velocity. Determine how far mass M1 will travel on the table before coming...
Two masses m1 = 5 kg and m2 = 3 kg are connected by a light...
Two masses m1 = 5 kg and m2 = 3 kg are connected by a light rope dropped over a pulley as shown in the figure a) Neglecting friction, what is the acceleration of these masses? b) What is the tension of the rope? c) What will be the acceleration if the coefficient of friction for the mass m1 is μk = 0.4?  
Objects with masses m1 = 12.0 kg and m2 = 8.0 kg are connected by a...
Objects with masses m1 = 12.0 kg and m2 = 8.0 kg are connected by a light string that passes over a frictionless pulley as in the figure below. If, when the system starts from rest, m2 falls 1.00 m in 1.48 s, determine the coefficient of kinetic friction between m1 and the table.    Express the friction force in terms of the coefficient of kinetic friction. Obtain an expression for the acceleration in terms of the masses and the...
Two blocks with masses M1 and M2 are connected by a massless string that passes over...
Two blocks with masses M1 and M2 are connected by a massless string that passes over a massless pulley as shown. M1 has a mass of 2.25 kg and is on an incline of θ1=46.5∘ with coefficient of kinetic friction μ1=0.205. M2 has a mass of 6.05 kg and is on an incline of θ2=33.5∘ with coefficient of kinetic friction μ2=0.105. The two‑block system is in motion with the block of mass M2 sliding down the ramp. Find the magnitude...
Masses of m1=1.25kg and m2=0.32kg are connected by strings through pulleys, respectively. m1 When stationary, it...
Masses of m1=1.25kg and m2=0.32kg are connected by strings through pulleys, respectively. m1 When stationary, it is 2.39 meters away from the floor in a vertical direction. Find the time it takes for m1 to reach the floor when placed in a stationary state, but the pulley is very small in mass and free of friction and g = 9.80 m/s2.
Objects with masses m1 = 11.0 kg and m2 = 8.0 kg are connected by a...
Objects with masses m1 = 11.0 kg and m2 = 8.0 kg are connected by a light string that passes over a frictionless pulley as in the figure below. If, when the system starts from rest, m2 falls 1.00 m in 1.54 s, determine the coefficient of kinetic friction between m1 and the table.
1) A block of mass m1 is moving at a constant speed in a circle on...
1) A block of mass m1 is moving at a constant speed in a circle on the frictionless surface of a large table. It is connected to another mass m2 by a light inextensible string of length d that passes through a hole in the surface of the table. Exactly half of the string is below the table and half is above. A) Give an expression for the centripetal force acting on m1 in terms of given quantities B) Provide...
A mass (M1=5.0kg) is connected by a light cord to a mass (M2=4.0kg) which slides on...
A mass (M1=5.0kg) is connected by a light cord to a mass (M2=4.0kg) which slides on a smooth frctionless surface. The pulley( a solid disk r=0.20m) rotates about a frictionless axle. The accleration of M2 is 3.5 m/s^2. What is the mass of the pulley?
A mass m1 = 1 kg on a horizontal table is pulled by a string looped...
A mass m1 = 1 kg on a horizontal table is pulled by a string looped over a massless frictionless pulley and attached to another hanging mass m2. The coefficient of kinetic friction between the table and mass m1 is 0.5 and the coefficient of static friction is 0.6. a) What is the minimum mass m2 that will start both masses moving? b) What is the acceleration of the system with this minimum mass?
TWO MAss m1 100g and m2 200g slide freely in horzantle frictionless track and are connected...
TWO MAss m1 100g and m2 200g slide freely in horzantle frictionless track and are connected by a spring whose spring constant find frequency of oscillatory motion for this system
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT