Question

A particle moves so that its position vector is given by r -coswt i+sin wt j where w is constant a. Show that the velocityof the particle is perpendicular tor . b. Find the magnitude of acceleration in the direction of 2-h C. Show that dt

0 0
Add a comment Improve this question Transcribed image text
Request Professional Answer

Request Answer!

We need at least 10 more requests to produce the answer.

0 / 10 have requested this problem solution

The more requests, the faster the answer.

Request! (Login Required)


All students who have requested the answer will be notified once they are available.
Know the answer?
Add Answer to:
A particle moves so that its position vector is given by r -coswt i+sin wt j...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
  • A particle moves in the plane with position given by the vector valued function r(t)=cos^3(t)i+sin^3(t)j MA330...

    A particle moves in the plane with position given by the vector valued function r(t)=cos^3(t)i+sin^3(t)j MA330 Homework #2 particle moves in the plane with position given by the vector-valued function The curve it generates is called an astrid and is plotted for you below. (a) Find the position att x/4 by evaluating r(x/4). Then draw this vector on the graph (b) Find the velocity vector vt)-r)-.Be sure to apply the power and (e) Find the velocity at t /4 by...

  • A particle moves in an elliptical orbit given by ?⃗=?cos???̂+?sin?? ?̂ where ? and ? are...

    A particle moves in an elliptical orbit given by ?⃗=?cos???̂+?sin?? ?̂ where ? and ? are positive constants with ? < ?. Find the speed and acceleration of the particle as a function of time. At what time or times will the acceleration be perpendicular to the velocity? 4. A particle moves in an elliptical orbit given by * = b cos wt î+ c sin wt where b and c are positive constants with c < b. Find the...

  • Suppose that the position vector of a particle is given by the following function of time:...

    Suppose that the position vector of a particle is given by the following function of time: r = (6.0 + 2.0t^2)i + (3.0 - 2.0t + 3.0t^2)j where distance is measured in meters and time in seconds. (a) What is the instantaneous velocity vector at t=2.0 s? What is the magnitude of this vector? (b) What is the instantaneous acceleration vector? What are the magnitude and direction of this vector?

  • 4. A particle moves along the curve y = A12 so that its position is given...

    4. A particle moves along the curve y = A12 so that its position is given by x = Bt. (a) Find the position vector of the particle in the form 式t) = x(t) + y(t) j (b) Calculate the speed u = of the particle along this path at an arbitrary instant t.

  • A particle moves and its vector is given by ? = ??? + (? − ??)?...

    A particle moves and its vector is given by ? = ??? + (? − ??)? find (a) a unit vector normal to the trajectory at t =1 (b) The angular momentum ? = ? × ??̇ of the particle where ?̇ = ?r/?t (c) The torque ? = ? × ??̈ on the particle where ?̈= ???/??2 Note: from (b) and (c) it is easily seen that ? = ?l/?t Please show all workings out and thanks for your...

  • A force acting on a particle in the xy plane at coordinates (x, y) is given...

    A force acting on a particle in the xy plane at coordinates (x, y) is given by vector F = (F_0/r) (y hat i - x hat j), where F_0 is a positive constant and r is the distance of the particle from the origin. Show that the magnitude of this force is F_0. Show that the direction of vector F is perpendicular to vector r = x hat i + y hat j.

  • The vector r(t) is the position vector of a particle at time t. Find the angle...

    The vector r(t) is the position vector of a particle at time t. Find the angle between the velocity and the acceleration vectors at time t = 0. r(t) = sin (3t) i + In(31 2 + 1)j + V32.1k os Oo 4 Moving to the next question prevents changes to this answer.

  • A rabbit runs in a parking lot such that its position vector is given by the...

    A rabbit runs in a parking lot such that its position vector is given by the function, which is defined as r(t) (3t^2+7) i + (2t-5) j, where r is in meters and t is in seconds. Find the magnitude and direction of the acceleration of the rabbit at t= 1 s

  • The vector position of a particle varies in time according to the expression r-7.40 i-8.20t2 j...

    The vector position of a particle varies in time according to the expression r-7.40 i-8.20t2 j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and velocity...

  • The position vector of a point which moves in the x-y plane is given by: r...

    The position vector of a point which moves in the x-y plane is given by: r = (- 0.2 t4 + 1.8 t3 + 1.1 t2) i + (- 0.4 t4 - 1.2 t) j where r is in meters and t is in seconds. Determine the angle between the velocity v and the acceleration a when t = 1.7 sec.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT