This study resource was shared via courseherocom

This preview shows page 5 - 9 out of 9 pages.

We have textbook solutions for you!
The document you are viewing contains questions related to this textbook.
Precalculus: Real Mathematics, Real People
The document you are viewing contains questions related to this textbook.
Chapter 6 / Exercise 6
Precalculus: Real Mathematics, Real People
Larson
Expert Verified
This study resource was shared via CourseHero.com
We have textbook solutions for you!
The document you are viewing contains questions related to this textbook.
Precalculus: Real Mathematics, Real People
The document you are viewing contains questions related to this textbook.
Chapter 6 / Exercise 6
Precalculus: Real Mathematics, Real People
Larson
Expert Verified
Problem 2 (25 pts.): A block of mass M = 5.4 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 6000 N/m which is initially uncompressed. A bullet of mass m = 9.5 g and velocity v of magnitude 630 m/s strikes and becomes embedded in the block. This compresses the spring and sets block and spring in simple harmonic motion. Determine: a) ( 8 pts. ) the speed of the block immediately after the collision. b) ( 9 pts. ) the amplitude of the harmonic motion. c) ( 8 pts. ) the frequency of the harmonic motion. k m v This study resource was shared via CourseHero.com M
Problem 3 (25 pts.) The figure to the right shows a block S with mass M . The block is free to move along a horizontal frictionless surface and connected, by a massless cord that wraps over a frictionless pulley with mass m and radius ( I=mr 2 /2) to a second block H also of mass m . The hanging block H falls as the sliding block S accelerates to the right. a) ( 6 pts.) Draw force diagrams for blocks S and H and the pulley. b) ( 10 pts.) Find the linear acceleration of the rope. c) ( 9 pts.) Find the magnitude of tension in the rope pulling on block S. m a α =-a/r This study resource was shared via CourseHero.com r
Problem 4 (26 pts) As shown in the figure, an overhead view of a thin uniform rod of length 0.80 m and mass M = 1.0 kg rotating horizontally at angular speed 20 rad/s about an axis through its center. A particle of mass M /3 initially attached to one end is ejected from the rod by a small explosion and travels along a straight path that is perpendicular to the rod at the instant of ejection. The particle's final speed v p (after the ejection) is 11.0 m/s. a) ( 6 pts. ) What is the angular momentum (magnitude and direction) of the particle about the center of rod at the moment before the ejection? b) ( 10 pts.) What is the final angular velocity (magnitude and direction) of the rod? c) ( 10 pts. ) What is the change in kinetic energy of the system (the rod plus particle)? This study resource was shared via CourseHero.com
Problem 5 (27 pts.): A block of mass m 1 rests on a frictionless inclined plane at a height above a flat horizontal plane. This mass is released and slides down the incline, eventually colliding elastically with a second block at rest at x 0 with mass m 2 , with m 1 = 3 m 2 /4. Immediately after the elastic collision, block number 2 moves to the right with velocity v 2f . It encounters a region that has friction with a coefficient of kinetic friction of μ k , traveling a distance d before coming to rest. Answer the following questions about these two blocks. a) ( 7 pts.) Determine an equation for v 2f immediately after the collision (using m 2 , h , and b) ( 7 pts.) Determine an equation for d (in terms of m 2 , h , μ k , and g ), the distance that block 2 travels on the friction surface, before coming to a stop. c) ( 6 pts.) What is the magnitude (equation) and sign of the work done by the frictional force on block 2? d) ( 7 pts. ) What is the velocity v f of block 1 after the collision (in terms of m 2 , h , and g ). Use vector notation. This study resource was shared via CourseHero.com h = g ) 1 Powered by TCPDF ()

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture