Write the equation of motion for the system

Reference no: EM13986541

A block of mass M₁ = 5 kg is attached to a spring with a spring constant k = 20 N/m and rests on a frictionless horizontal surface. A wad of clay with mass M₂ = 2 kg traveling at a speed of v = 14 m/s hits and sticks to the block.

2470_A block is attached to a sprin.jpg

Find the frequency and amplitude of the subsequent simple harmonic oscillations.

Write the equation of motion for the system.

Draw a graph for the displacement as a function of time for this mass-spring system. Label the axes and scale the drawing accurately to show the period and amplitude.

How much time does it take for the spring to compress x = 1.5 meters from equilibrium for the first time?

Reference no: EM13986541

Questions Cloud

How do these transactions affect amti : Arnold sells the shares in 2007 for $165 per share. How do these transactions affect AMTI in 2004, 2006, and 2007?

Calculate net income for the year ended december : Calculate income from operations (operating income) for the year ended December 31, 2007.

Evaluate the triple integral : Evaluate the triple integral 0∫1 0∫20∫x z dz dy dx. Evaluate∫∫∫T z dV where T is the solid bounded by z = 0, and z = √(9-x2-y2)

Determine the maximum angle : A triangular prism with an apex angle of Φ = 60.0o has an index of refraction n = 1.56 (Fig. P35.33). What is the smallest angle of incidence θ1 for which a light ray can emerge from the other side?

Write the equation of motion for the system : Find the frequency and amplitude of the subsequent simple harmonic oscillations. Write equation of motion for the system. How much time does it take for the spring to compress x = 1.5 meters from equilibrium for the first time?

Determine the speed of block just before the collision : Determine the speed of block m1 just before the collision. Determine the velocity of each block after the collision. Determine how far up the incline that mass m1 will get to after the collision.

Full-time employees : What if your organization has been successful on a major project in which not only full-time employees but temporary workers from a temporary agency have contributed, and Henry Simms

What was length of time required for the field to disappear : A twelve turn coil 10 cm in diameter has its axis parallel to a magnetic field of 0.5 T which is produced by a nearby electromagnet. The current in the electromagnet is cut off, and as the field collapses, an average emf of 8 V is induced in the c..

Each consumer of medical services has slightly different : Each consumer of medical services has slightly different needs. Think about your own needs with regard to medical services and those of your family. Research the plan options that are available to you and choose a plan that best meets your needs.

User Account

All Pages