A baseball bat has a “sweet spot” where a ball can be hit with almost effortless transmission of energy. A careful analysis of baseball dynamics shows that this special spot is located at the point where an applied force would result in pure rotation of the bat about the handle grip. Determine the location of the sweet spot of the bat shown in Fig. 11–51. Tile linear mass density of the bat is given roughly by (0.61 + 3.3 x 2 ) kg/m, where x is in meters measured from the end of the handle. The entire bat is 0.84 m long. The desired rotation point should be 5.0 cm from the end where the bat is held. [ Hint : Where is the CM of the bat?] FIGURE 11–51 Problem 82.
A baseball bat has a “sweet spot” where a ball can be hit with almost effortless transmission of energy. A careful analysis of baseball dynamics shows that this special spot is located at the point where an applied force would result in pure rotation of the bat about the handle grip. Determine the location of the sweet spot of the bat shown in Fig. 11–51. Tile linear mass density of the bat is given roughly by (0.61 + 3.3 x 2 ) kg/m, where x is in meters measured from the end of the handle. The entire bat is 0.84 m long. The desired rotation point should be 5.0 cm from the end where the bat is held. [ Hint : Where is the CM of the bat?] FIGURE 11–51 Problem 82.
A baseball bat has a “sweet spot” where a ball can be hit with almost effortless transmission of energy. A careful analysis of baseball dynamics shows that this special spot is located at the point where an applied force would result in pure rotation of the bat about the handle grip. Determine the location of the sweet spot of the bat shown in Fig. 11–51. Tile linear mass density of the bat is given roughly by (0.61 + 3.3x2) kg/m, where x is in meters measured from the end of the handle. The entire bat is 0.84 m long. The desired rotation point should be 5.0 cm from the end where the bat is held. [Hint: Where is the CM of the bat?]
The velocity of the 8-kg cylinder is 0.3 m∕s at a certaininstant. The mass of the grooved drum is 12 kg, its centroidal radiusof gyration is k = 210 mm, and the radius of its groove isri = 200 mm. The frictional moment at O is a constant3 N∙m.
Find the frictional force if final speed is given to be 2.5.
A 3.0-kg block rests on a slope and is attached by a string of negligible mass to a solid drum of mass 0.90 kg and radius 4.5 cm, as shown in fig. 10.28. When released, the block accelerates down the slope at 1.9m/s2. Find the coefficient of friction between block and slope.
19-17 The 100 kg spool is resting on the inclined surface for which the coefficient of kinetic friction is = 0.1. Determine the angular velocity of the spool when t = 4s after it is released from rest. The radius gyration about the mass center is = 0.25 m.
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