Sir Lancelot rides slowly out of the castle at Camelot and onto the 12.0-m-long drawbridge that passes over the moat ( Fig. P11.44 ). Unbeknownst to him, his enemies have partially severed the vertical cable holding up the front end of the bridge so that it will break under a tension of 5.80 × l0 3 N. The bridge has mass 200 kg and its center of gravity is at its center. Lancelot, his lance, his armor, and his horse together have a combined mass of 600 kg. Will the cable break before Lancelot reaches the end of the drawbridge? If so, how far from the castle end of the bridge will the center of gravity of the horse plus rider be when the cable breaks?
Sir Lancelot rides slowly out of the castle at Camelot and onto the 12.0-m-long drawbridge that passes over the moat ( Fig. P11.44 ). Unbeknownst to him, his enemies have partially severed the vertical cable holding up the front end of the bridge so that it will break under a tension of 5.80 × l0 3 N. The bridge has mass 200 kg and its center of gravity is at its center. Lancelot, his lance, his armor, and his horse together have a combined mass of 600 kg. Will the cable break before Lancelot reaches the end of the drawbridge? If so, how far from the castle end of the bridge will the center of gravity of the horse plus rider be when the cable breaks?
Sir Lancelot rides slowly out of the castle at Camelot and onto the 12.0-m-long drawbridge that passes over the moat (Fig. P11.44). Unbeknownst to him, his enemies have partially severed the vertical cable holding up the front end of the bridge so that it will break under a tension of 5.80 × l03 N. The bridge has mass 200 kg and its center of gravity is at its center. Lancelot, his lance, his armor, and his horse together have a combined mass of 600 kg. Will the cable break before Lancelot reaches the end of the drawbridge? If so, how far from the castle end of the bridge will the center of gravity of the horse plus rider be when the cable breaks?
When you bend over, a series of large muscles, the erector spinae, pull on your spine to hold you up. The following figure shows a simplified model of the spine as a rod of length L that pivots at its lower end. In this model, the center of gravity of the 270 N270 N weight of the upper torso is at the center of the spine. The 140 N140 N weight of the head and arms acts at the top of the spine. The erector spinae muscles are modeled as a single muscle that acts at a 1212-degree angle to the spine. Suppose the person in the figure bends over to an angle of 3030 degrees from horizontal.
The center of gravity is half the length, and the center of gravity for the upper torso is 2/32/3 of the length
A. What is the tension in the erector muscle?
B. A force from the pelvic girdle acts on the base of the spine. What is the component of this force in the direction parallel to the spine? This large force is the cause of many back injuries.
Sir Lancelot rides slowly out of the castle at Camelot and
onto the 12.0-m-long drawbridge that passes over the moat
(Figure 1). Unbeknownst to him, his enemies have partially
severed the vertical cable holding up the front end of the
bridge so that it will break under a tension of 5.80 x 103 N.
The bridge has mass 200 kg and its center of gravity is at its
center. Lancelot, his lance, his armor, and his horse together
have a combined mass of 600 kg.
Part A
Will the cable break before Lancelot reaches the end of the drawbridge?
O yes
O no
Part B
Figure
1 of 1
If so, how far from the castle end of the bridge will the center of gravity of the horse plus rider be when the cable breaks?
Express your answer in meters.
L =
m
12.0 m-
The aluminum cylinder is attached to the steel hemisphere. Find the height h of the cylinder for which the center
of gravity of the assembly is at G. Use y=0.283 lb/in³ for steel and y=0.096 Ib/in³ for aluminum. Answers: 3.39 in.
9 in.
Aluminum
Steel -
Fig. P8.94
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