Problem Set 12 - General Physics I | PHY 211, Assignments of Physics

Material Type: Assignment; Class: General Physics I; Subject: Physics; University: Syracuse University; Term: Unknown 1989;

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Physics 211 Spring 2007 Syracuse University Homework Problem Set 12 p.1
Physics 211 Problem Set 12 Due Fri, 04/27/07
Last Name:___________________________________ First Name _______________
Workshop time or section:___________________TA name or Room # ____________
Please submit your homework on this sheet. If you need more space than is available,
please attach additional sheets of paper.
1. A pendulum consists of two uniform disks of the same thickness and density but
different radii as shown below. Location of the pivot point and dimensions are given
below. What is the period of the pendulum? (Assume g=10 m/s2)
Hints: Area of a circle is given by πR2.
R=0.3m
Pivot
a=0.2m
oscillations
r=0.1m
pf2

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Physics 211 Spring 2007 Syracuse University Homework Problem Set 12 p.

Physics 211 Problem Set 12 Due Fri, 04/27/ Last Name:___________________________________ First Name _______________ Workshop time or section:___________________TA name or Room # ____________

Please submit your homework on this sheet. If you need more space than is available, please attach additional sheets of paper.

  1. A pendulum consists of two uniform disks of the same thickness and density but different radii as shown below. Location of the pivot point and dimensions are given below. What is the period of the pendulum? (Assume g=10 m/s^2 ) Hints : Area of a circle is given by πR^2.

R=0.3m

Pivot

a=0.2m

oscillations

r=0.1m

Physics 211 Spring 2007 Syracuse University Homework Problem Set 12 p.

  1. A block of mass M , at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k. A bullet of mass m and velocity v strikes the block as shown below. The bullet remains embedded in the block.

(a) Determine the velocity of the block immediately after the collision (in terms of M, m and v). Hints: What kind of collision is it? Is mechanical energy conserved? Is momentum conserved?

(b) Determine amplitude of the resulting simple harmonic motion (in terms of M, m, v and k). Hints: In which form is the energy right after the collision? Is mechanical energy conserved in simple harmonic oscillations? How amplitude is related to the energy?