Solution-What are the forces acting on m1 and m2

What are the forces acting on m1 and m2

Assignment Help Physics

Reference no: EM13962319

A mass M1 on a frictionless plane is connected to a support O by a spring of stiffness k. Mass M2 is supported by a string of length l from M1.

a. What are the forces acting on M1 and M2?

b. By a consideration of these forces, derive the equations of motion of M1 and M2 using the small angle approximation

c. For M1=M2, find the normal frequencies and the ratio of the amplitudes of each mass for each mode.

Constants:
M1 - mass on frictionless plane
M2 - mass at the end of the pendulum which is attached at its pivot to M1.
X1 is the displacement from equilibrium of mass M1
X2 is the displacement from equilibrium position of mass M2
θ is the angle of the pendulum from equilibrium position
l is the length of the pendulum

*normal frequencies refer to frequencies in the normal mode of vibration which use variables A=X1+X2 and B= X1-X2. The letters don't matter. X1 and X2 refer to the horizontal displacement of the two masses, X1 for the mass on the frictionless plane, X2 for the mass on the pendulum.

Reference no: EM13962319

Questions Cloud

What was the collective bargaining process like : What was the collective bargaining process like? What was effective in this process? What should have been done differently? Was hard bargaining the best choice in this situation? Why? Were there any other options that could have been considered

Fishers intersection point on financial decision making : The importance of fisher's intersection point on financial decision making

Find the reaction forces at a and b : A crane of mass mc = 3400 kg supports a load of ml = 11300 kg as in Figure. The crane is pivoted with a frictionless pin at A and rests against a smooth support at B. Find the reaction forces at A and B.

Find the power radiated per unit solid angle by the particle : Time average your result in part (b). (Just set up the expression for time average).

What are the forces acting on m1 and m2 : A mass M1 on a frictionless plane is connected to a support O by a spring of stiffness k. Mass M2 is supported by a string of length l from M1. What are the forces acting on M1 and M2?

Write organizational audit focusing on common risk issues : Each student will write a 4-5 page organizational audit focusing on common risk management issues, concerns and challenges. The audit should feature an overview of their organization's current risk management plan including when it was created/up..

Study of the influence of sexual fashion advertisement : A study of the influence of sexual fashion advertisement on consumer purchasing behavior P.S. data analysis need to use SPSS format, reference need to use APA style.

Applying a torque at the end of the stick. : Shown below are six figures in which a student is holding a meter stick horizontally. In these figures, the length of the meter stick is denoted as L. All of the meter sticks are identical, but the objects hanging from the sticks vary in mass and ..

What type of business coverage does your company carry : What type of business coverage does your company carry? Any other types of coverage you would recommend

User Account

All Pages

What are the forces acting on m1 and m2

Reference no: EM13962319

Reference no: EM13962319

Questions Cloud

Reviews

Write a Review

Physics Questions & Answers

Find the magnitude of the resulting magnetic field

Find the equivalent resistance

What is the electric field at the location

What is the maximum displacement of the bridge deck

What is the magnitude of the current in the wire

Blackbody

Gravity conveyor

Calculate the dc voltage

Quadrupole moments in the shell model

Determine the tension in each string

Introductory mechanics: dynamics

Evaluate maximum altitude

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT