The uniform bar OC of length L pivots freely about a horizontal axis through O. If the spring of modulus k is unstretched when C is coincident with A, determine the tension T required to hold the bar in the 38° position shown. The diameter of the small pulley at D is negligible.
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The uniform bar OC of length L pivots freely about a horizontal axis through O. If the spring of modulus k is unstretche...
A rigid, uniform, horizontal bar of mass m1 and length L is supported by two identical massless strings. (Figure 1) Bot...
A rigid, uniform, horizontal bar of mass m1 and length L is
supported by two identical massless strings. (Figure 1) Both
strings are vertical. String A is attached at a distance d<L/2
from the left end of the bar and is connected to the ceiling;
string B is attached to the left end of the bar and is connected to
the floor. A small block of mass m2 is supported against gravity by
the bar at a distance x from...
A slender, uniform metal rod of mass M and length l is pivoted without friction about an axis through its midpoint and p...
A slender, uniform metal rod of mass M and length l is pivoted
without friction about an axis through its midpoint and
perpendicular to the rod. A horizontal spring, assumed massless and
with force constant k, is attached to the lower end of the rod,
with the other end of the spring attached to a rigid support.
(Figure 1)
2. Find the torque τ due to the spring. Assume that θ is small
enough that the spring remains effectively horizontal...
The figures to the right show a rod with length, l, and mass, M, on a frictionless table rotated an angle θ from the horizontal. It is fix to the table by a pin Sring through its center of mass...
The figures to the right show a rod with length, \(l\), and mass, \(M\), on a frictionless table rotated an angle \(\theta\) from the horizontal. It is fix to the table by a pin through its center of mass, and can rotate freely about this pin. On the two ends of the rod are connected identical springs with spring constant, \(k\), and the equilibrium position of the springs is when \(\theta=0\). In this problem, \(\theta \ll 1 \mathrm{rad}\), and the...
A rigid, uniform, horizontal bar of mass m1 and length L is
supported by two identical massless strings. (Figure 1) Both
strings are vertical. String A is attached at a distance d<L/2
from the left end of the bar and is connected to the ceiling;
string B is attached to the left end of the bar and is connected to
the floor. A small block of mass m2 is supported against gravity by
the bar at a distance x from...
A slender, uniform metal rod of mass M and length l is pivoted
without friction about an axis through its midpoint and
perpendicular to the rod. A horizontal spring, assumed massless and
with force constant k, is attached to the lower end of the rod,
with the other end of the spring attached to a rigid support.
(Figure 1)
2. Find the torque τ due to the spring. Assume that θ is small
enough that the spring remains effectively horizontal...
The figures to the right show a rod with length, \(l\), and mass, \(M\), on a frictionless table rotated an angle \(\theta\) from the horizontal. It is fix to the table by a pin through its center of mass, and can rotate freely about this pin. On the two ends of the rod are connected identical springs with spring constant, \(k\), and the equilibrium position of the springs is when \(\theta=0\). In this problem, \(\theta \ll 1 \mathrm{rad}\), and the...
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