Physics 011
Quiz#11
Chapter 11 

Practice Problems 
1 
A mass of kg
is supported from above by a spring with a spring constant of 25 N/cm. To the
nearest millimeter, how far is the spring stretched ? 


2 
In problem 1), to the nearest tenth of a hertz , what
would be its frequency of vibration? 


3 
A 5 kg mass, m, rests on a frictionless, horizontal,
wooden table top, and is attached to one end of a spring anchored at its
other end . If the spring has a spring constant= N/cm
and the mass is pulled back (in the positive direction ) 20 cm and released,
to the nearest tenth of a joule, what is its total energy? 


4 
In problem 3), what is its kinetic energy at x= 5 cm? 


5 
In problem 3), if the mass is kg
and the spring constant is 20 N/cm, to the nearest tenth of a m/s, what is
its speed at x= 5 cm? 


6 
What is the angular frequency of the mass in problem 5) to
the nearest tenth of a Hz? 


7 
A 7 kg mass hangs on a meter
long weightless cord. To the nearest cm, what should the new length of the
pendulum be in order that the new frequency be twice its current value? 


8 
If a meter
long cord is fixed at both ends with a tension of 100 Newtons and has a mass
of 50 gms, to the nearest tenth of a Hertz, what would be its fundamental
frequency? 


9 
Two wires are anchored at both ends. Wire 1 has a mass of
81 gm and a length of m.
Wire 2 has a mass of 50 grams, a length of 20 m, and a tension of 100 N. What
must be the tension (to the nearest Newton) in wire 1 if its third harmonic is
to equal the first overtone of wire 2? 


10 
If the tension on wire 1 above is 400 N, to the nearest
tenth of a Hz, what is its fundamental frequency? 

