Explore BrainMass

Explore BrainMass

    Motion on an inclined plane

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Determine the time time tB, tC, and tD needed for a block of mass m to slide from rest at A to points B, C, and D, respectively. Neglect effects of friction.

    See attachment for picture.

    © BrainMass Inc. brainmass.com December 24, 2021, 5:06 pm ad1c9bdddf
    https://brainmass.com/physics/newtons-second-law/motion-inclined-plane-28496

    Attachments

    SOLUTION This solution is FREE courtesy of BrainMass!

    Hello and thank you for posting your question to Brainmass!
    The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word XP Format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.

    The force that makes the box slide downwards is the component of the gravitational force that is parallel to the incline.

    Therefore:

    The acceleration of the box can be obtained using Newton's second law:

    An accelerating object's position (x) as a function of time (t) is:

    Where x0 and v0 are the initial position and velocity respectively. Setting the initial point (A) as x0=0, and since the block starts from rest (v0=0) the equation becomes:

    Solving for t:

    Thus the time the box needs to get from point A to B (distance b) is:

    The time the box needs to get from point A to C (distance c) is:

    The time the box needs to get from point A to D (distance d) is:

    Setting

    We get:

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 5:06 pm ad1c9bdddf>
    https://brainmass.com/physics/newtons-second-law/motion-inclined-plane-28496

    Attachments

    ADVERTISEMENT