A 1
kg rock is hung from one end of a meter at the 0 cm...
A 1
kg rock is hung from one end of a meter at the 0 cm mark so that
the meter is balanced as a balance when the filter is at the 25 cm
mark. From this information, what is the mass of the meter?
1. A 12.0 kg sign is to be hung from the end of a
uniform horizontal beam of length 2.50 m and mass 55.0 kg.
A vertical wire supports the beam near the end where the sign is
located, and a pin attaches the beam
to a wall on the opposite end of the beam.
(a) If the pin can withstand a maximum force of 100 N, find the
minimum distance from the wall that
the vertical wire can be...
A 1-kg ball is tied to the end of a 2-meter string and revolved
in a horizontal plane making a 30o angle with the
vertical.
(a) What is the ball's speed?
(b) If the ball is now revolved so that its speed is 4m/s, what
angle does the string need to make with the vertical?
(c) If the string can withstand a maximum tension of 10 N, what
is the highest speed at which the ball can travel?
A spherical rock (R= 19 cm, p=3350 kg/m^3) is attached to the
end of a copper wire (diameter 3 mm, effective length of 1.21 m)
and then revolved in a circular path in a vertical plane with a
period of 0.97 s. Determine the maximum and the minimum length of
the copper wire. (You may assume the path remains circular and the
motion is uniform).
When you stand 1 meter away from the loudspeakers for a rock
band, it is just on the threshold of pain (approximately 120 dB).
How far away should you stand to reduce the sound intensity level
to 60 dB, equivalent to an everyday normal conversation?
A meter stick is balanced at the 50 cm mark. You
tie a 10 kg weight at the 10 cm mark, while 20 kg weight is placed
at the 80 cm mark. Where should a 20 kg weight be placed so the
meter stick will again be balanced?
A fulcrum is placed at the 55 cm position of a 100 cm (1 meter)
stick with a mass of 18 kg. a 10 kg mass is placed at 70 cm
position. where must a 5 kg mass be placed so that the net torque
is zero? (assume the mass of the meter stick is uniformly
distributed)
A spring of equilibrium (un-stretched) length L0 is hung
vertically from one end. A mass M is attached to the other end of
the spring and lowered so that the mass hangs stationary with the
spring stretched a distance ΔL.
The position of the bottom end of the un-stretched spring is
defined as y=0 and shown by the (upper) blue line in the figure.
The position of the end of the stretched spring is shown by the
(lower) red line...
an 10 kg object is hung from a spring attached to a fixed
support. The spring constant of the spring is k=40 Nm**(-1) (I mean
to the power of -1) Suppose an external downward force of magnitude
f(T) = 20 e **(-2t) N is applied to the object, and damping due to
air resistence occurs with damping constant beta = 40 N s m **(-1).
Let y(t) denote the distance in meters of the object below its
equilibrium position at...
A mass m = 1 kg is suspended from a spring that is stretched 1
cm
under the influence of the weight of this mass. Now a periodic
force is applied
external of F (t) = 200 cos (vt) on the mass, which was initially
in
static balance. Disregarding all friction, get a relationship
for
position of the mass as a function of time, x (t). Also determine
the value of
ω which will cause resonance to occur