(a) Find the tension in the rope. N upward (b) Find the force that the column ex
ID: 1302926 • Letter: #
Question
(a) Find the tension in the rope.
N upward
(b) Find the force that the column exerts on the right end of the beam.
N upward
2- Use conservation of energy to determine the angular speed of the spool shown in the figure below after the 3.00 kg bucket has fallen 3.55 m, starting from rest. The light string attached to the bucket is wrapped around the spool and does not slip as it unwinds.
rad/s
3- A rod of length 2.0 m is hinged at one end, and a force of magnitude
F = 14 N
is applied at the other (see figure below).
a) If the magnitude of the torque associated with this force is
23 N
Explanation / Answer
along vertical Fnet = 0
M*g = T + F
1) taking torque about right end
T*238.17(L-d) - M*g*(L/2) = 0
T*(4.45-1.2) = (35.5*9.8*2.225)
T = 238.17 N.....in upward direction
b) F = M*g -T = 109.73 N
2) TE1 = m*g*h
TE2 = 0.5*I*W^2 + 0.5*m*V^2
TE2 = TE1
0.5*I*W^2 + 0.5*m*V^2 = m*g*h
0.5*M*R^2*V^2/R^2 + 0.5*m*V^2 = m*g*h
(0.5*5*0.6*V^2)+(0.5*3*V^2) = (3*9.8*3.55)
V = 5.89 m/s
3) T = rFsin phi
23 = 2*14*sin phi
phi = 55.2
anticlockwise
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