(I) A tower crane (Fig. 12–48a) must always be carefully balanced so that there is no net torque tending to tip it. A particular crane at a building site is about to lift a 2800-kg air-conditioning unit. The crane’s dimensions are shown in Fig. 12–48b. ( a ) Where must the crane’s 9500-kg counterweight be placed when the load is lifted from the ground? (Note that the counter-weight is usually moved automatically via sensors and motors to precisely compensate for the load.) ( b ) Determine the maximum load that can be lifted with this counterweight when it is placed at its full extent. Ignore the mass of the beam.
(I) A tower crane (Fig. 12–48a) must always be carefully balanced so that there is no net torque tending to tip it. A particular crane at a building site is about to lift a 2800-kg air-conditioning unit. The crane’s dimensions are shown in Fig. 12–48b. ( a ) Where must the crane’s 9500-kg counterweight be placed when the load is lifted from the ground? (Note that the counter-weight is usually moved automatically via sensors and motors to precisely compensate for the load.) ( b ) Determine the maximum load that can be lifted with this counterweight when it is placed at its full extent. Ignore the mass of the beam.
(I) A tower crane (Fig. 12–48a) must always be carefully balanced so that there is no net torque tending to tip it. A particular crane at a building site is about to lift a 2800-kg air-conditioning unit. The crane’s dimensions are shown in Fig. 12–48b. (a) Where must the crane’s 9500-kg counterweight be placed when the load is lifted from the ground? (Note that the counter-weight is usually moved automatically via sensors and motors to precisely compensate for the load.) (b) Determine the maximum load that can be lifted with this counterweight when it is placed at its full extent. Ignore the mass of the beam.
A ground retaining wall is shown in Fig. 9–36a. The ground,
particularly when wet, can exert a significant force F on the
wall. (a) What force produces the torque to keep the wall
upright? (b) Explain why the retaining wall in Fig. 9–36b
would be much less likely to overturn than that in Fig. 9–36a.
-F
(a)
(b)
FIGURE 9-36 Question 5.
A uniform beam is hinged at one end and held in a hori-
zontal position by a cable, as shown in Fig. 9–42. The
tension in the cable
(a) must be at least half the weight of the beam, no matter
what the angle of the cable.
(b) could be less than half the beam's weight for some
angles.
(c) will be half the beam's weight for all angles.
(d) will equal the beam's weight for all angles.
FIGURE 9–42
MisConceptual Question 3:
beam and cable.
(III) A door 2.30 m high and 1.30 m wide has a mass of
13.0 kg. A hinge 0.40 m from the top and another hinge
0.40 m from the bottom each support half the door's weight
(Fig. 9–69). Assume that the center
of gravity is at the geometrical
center of the door, and determine
40 cm
2.30 m
the horizontal and vertical force
components exerted by each hinge
on the door.
-1.30 m-
F40 cm
FIGURE 9-69
Problem 29.
Chapter 12 Solutions
Physics for Scientists and Engineers with Modern Physics
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