Question

a uniform rod of mass1 = 4.7 kg and legth 80 cm lies horizontal frictionless table,...

a uniform rod of mass1 = 4.7 kg and legth 80 cm lies horizontal frictionless table, with a vertical frictionless axle passing through a point P, located 25cm from center of mass of the rod. Also a particle of mass 2 = 1.2 kg is attached to the rod 5 cm from the far end.

A. Find the moment of inertia of the rod only about point P.

The system is initially rotating counter clock wise about P at 6.40 rad/s, at the instant rod is aligned with the y axis, an explosive charge fires m2 at speed 8.2 m/s at angle 35 with respect to x axis. Find angular momentum of particle at moment just after explosion as measured with respect to the axle at P

C, find final angular velocity of rod after explosion
0 0
Add a comment Improve this question Transcribed image text
Answer #1

A) Use parallel axis theorem,

I = Icm + m*d^2

= m*L^2/12 + m*d^2

= 4.7*0.8^2/12 + 4.7*0.25^2

= 0.54 kg.m^2

B) angular momentum of the particle = m*v*R*sin(35)

= 1.2*8.2*0.5*sin(55)

= 4.03 kg.m^2/s

C) Apply coonservation of momentum

Li = Lf

( 0.54 + 1.2*0.5^2)*6.4 = 4.03 + 0.54*w

==> w = ( ( 0.54 + 1.2*0.5^2)*6.4 - 4.03)/0.54

= 2.5 rad/s

Add a comment
Know the answer?
Add Answer to:
a uniform rod of mass1 = 4.7 kg and legth 80 cm lies horizontal frictionless table,...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A long, uniform rod of length  0.530 mm and is rotating in a circle on a frictionless...

    A long, uniform rod of length  0.530 mm and is rotating in a circle on a frictionless table. The axis of rotation is perpendicular to the length of the rod at one end and is stationary. The rod has an angular velocity of 0.35 rad/srad/s and a moment of inertia about the axis of 3.30×10−3 kg⋅m2kg⋅m2 . An insect initially standing on the rod at the axis of rotation decides to walk to the other end of the rod. When the...

  • 1. A wooden rod of length 40.0 cm and mass 1.00 kg is sitting on a...

    1. A wooden rod of length 40.0 cm and mass 1.00 kg is sitting on a frictionless horizontal surface. The rod has a pin through its centre so that it can freely rotate about a vertical axis perpendicular to the rod and passing through the center of the rod. A projectile of mass 0.0100 kg is now shot at the rod. The projectile is moving horizontally with a speed of 2.00 x 102 m/s in the direction perpendicular to the...

  • A thin uniform rod has a length of 0.550 m and is rotating in a circle on a frictionless table. The axis of rotation is perpendicular to the length of the rod at one end and is stationary.

    A thin uniform rod has a length of 0.550 m and is rotating in a circle on a frictionless table. The axis of rotation is perpendicular to the length of the rod at one end and is stationary. The rod has an angular velocity of 0.42 rad/s and a moment of inertia about the axis of 2.60x10-3 kg .m2 . A bug initially standing on the rod at the axis of rotation decides to crawl out to the other end...

  • A uniform thin rod of length 0.95 m and mass 1.2 kg lies in a horizontal...

    A uniform thin rod of length 0.95 m and mass 1.2 kg lies in a horizontal plane and rotates in that plane about a pivot at one of its ends. The rod makes one rotation every 0.39 second and rotates clockwise as viewed from above its plane of rotation. A)Find the magnitude of the rod’s angular momentum about its rotation axis, in units of kgm^/s. b) find the rotational kinetic energy, in joules, of the rod described in part (a)....

  • The uniform slender rod shown below has a mass of 15.0 kg and a length of...

    The uniform slender rod shown below has a mass of 15.0 kg and a length of 2.50 m. It is free to spin about an axis through point A which is perpendicular to the page. A force of 10.5 N is applied at point P and is perpendicular to the rod. a) Calculate the angular acceleration of the rod about axis A due to the force applied at point P. b) If point A is moved to the end of...

  • A uniform rod of mass M and length L is released from its horizontal position. The...

    A uniform rod of mass M and length L is released from its horizontal position. The rod pivots about a fixed frictionless axis at' onc end and rotates countcrclockwise duc to gravity. It collides and sticks to another rod with same length and mass which is ver- tically at rest. (For a rod with mass M and length L, the moment of inertia about an axis through its one end is given by1-ML) L,M L, M Initial Final (a)(5 pts.)...

  • A thin uniform rod has a length of 0.530 m and is rotating in a circle...

    A thin uniform rod has a length of 0.530 m and is rotating in a circle on a frictionless table. The axis of rotation is perpendicular to the length of the rod at one end and is stationary. The rod has an angular velocity of 0.41 rad/s and a moment of inertia about the axis of 3.10×10−3 kg⋅m2 . A bug initially standing on the rod at the axis of rotation decides to crawl out to the other end of...

  • A thin uniform rod has a length of 0.520 m and is rotating in a circle...

    A thin uniform rod has a length of 0.520 m and is rotating in a circle on a frictionless table. The axis of rotation is perpendicular to the length of the rod at one end and is stationary. The rod has an angular velocity of 0.37 rad/s and a moment of inertia about the axis of 2.70×10−3 kg⋅m2 . A bug initially standing on the rod at the axis of rotation decides to crawl out to the other end of...

  • [7.] A uniform rod with mass M, length L, and moment of inertial with respect to...

    [7.] A uniform rod with mass M, length L, and moment of inertial with respect to the center of mass Icm = MLis hinged at one end (point P) so that it can rotate, without friction, around a horizontal axis. The rod is initially held at rest forming an angle with the vertical (see figure) and then released. a) Find the moment of inertia Ip of the rod with respect to point P. b) Find the magnitude of the angular...

  • A thin uniform rod (mass= 4.0 kg, length= 120.cm) rotates about an axis that is perpendicular...

    A thin uniform rod (mass= 4.0 kg, length= 120.cm) rotates about an axis that is perpendicular to the rod; the axis intersects the rod at 1/3 of the rod's length. The rod rotates about the axis at the rate of 8 full revolutions per second. a. Compute the rotational Inertia of the rod based on the given axis of rotation. b. Compute the magnitude of the angular velocity in radians per second c. Compute the tangential speed of the end...

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