Question

Principle of Linear Impulse and Momentum for a System of Particles

To apply the principle of linear impulse and momentum to a system of particles.

Integrating the equation of motion, as applied to all particles in a system, yields

mi(vi)1+∑∫t2t1Fidt=∑mi(vi)2

where mi is the ith particle's mass, vi is the ith particle's velocity, and Fi is the external force that acts on the ith particle. This relationship states that the sum of the initial linear momenta, at time t1, and the impulses of all the external forces acting between times t1 and t2 is equal to the sum of the linear momenta of the system, at time t2. If the system has a mass center, G, the expression becomes

m(vG)1+∑∫t2t1Fidt=m(vG)2

This expression allows the principle of linear impulse and momentum to be applied to a system of particles that is represented as a single particle.

 

Two blocks, each of mass m = 6.90 kg , are connected by a massless rope and start sliding down a slope of incline θ = 36.0 ∘ at t=0.000 s. The slope's top portion is a rough surface whose coefficient of kinetic friction is μk = 0.250. At a distance d = 1.40 m from block A's initial position the slope becomes frictionless. (Figure 1)What is the velocity of the blocks when block A reaches this frictional transition point? Assume that the blocks' width is negligible.

k-d-

Image Transcription

k-d-

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.

Related Mechanical Engineering Q&A

Find answers to questions asked by students like you.

Q: On drawing 31A063, what is dimension A in mm?   All abbreviations are standard

A: Consider the diagram shown below for the pivot arm. It is required to determine the length of the a...

Q: On drawing 31A059, what is dimension F? All

A: The flange is defined as the projection used for connecting two different objects like pipes, train ...

Q: 4-41. Compute the torsional shear stress that would be produced in a solid circular shaft having a d...

A: Click to see the answer

Q: A container is filled with 0.03 kg of Refrigerant R-134a at a temperature of 40 °C. What is the pres...

A: Click to see the answer

Q: A sample of silicone breast implant, polydimethylsiloxane (PDMS), is placed under unconfined compres...

A: Write the expression of Poison’s ratio.

Q: Consider the 2D heat conduction problem for a plane fin in the figure.   Non-dimensionalize the prob...

A: Let us consider small strip of length delta x at a distance x from x = 0. Heat flows in the directio...

Q: find the deflection under the load f in the following sketch using the following two approaches: a. ...

A: Draw the deflection diagram of the beam.

Q: Match the surfaces 17-20 to their characteristic: principal, inclined, or curved

A: Principal surface – It is that surface which is parallel to the reference plane and perpendicular to...

Q: Determine the forces in members BJ, BI, CI, CH, DG, DH, and EG of the loaded truss. All triangles ar...

A: Calculating the reaction force at A & F,