A 10.0 m long rod, with a mass which acts at its center, supports three weights as shown. Where is its center of gravity? X kg Y kg 0.0 5.0 m Z kg 10.0 m where X = 5.00, Y = 15.0, and Z=30.0.
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- Find the net torque on the wheel in Figure P10.23 about the axle through O, taking a = 10.0 cm and b = 25.0 cm. Figure P10.23A 10.0 m long rod, with a mass which acts at its center, supports three weights as shown. Where is its center of gravity? X kg Y kg 0.0 5.0 m Z kg 10.0 m where X = 5.00, Y = 27.0, and Z = 22.0The figure (a) shows an outstretched arm with a mass of 4.2kg. The arm is 56 cm long, and its center of gravity is 21 cm from the shoulder. The hand at the end of the arm holds a 6.0-kg mass. (Figure 1) 56 cm 21 en 6.0 kg (a) Deltoid muscle 5.0 15 18 cm (b) What is the torque about the shoulder due to the weights of the arm and the 6.0-kg mass? If the arm is held in equilibrium by the deltoid muscle, whose force on the arm acts 5.0 degrees below the horizontal at a point 18 cm from the shoulder joint (the figure (b)), what is the force exerted by the muscle?
- In exercise physiologystudies, it is sometimesimportant todetermine the location ofa person’s center of gravity.This can be done withthe arrangement shownin Figure P8.21. A lightplank rests on two scalesthat read Fg1 = 380. N andFg2 = 320. N. The scales are separated by a distance of 2.00 m.How far from the woman’s feet is her center of gravity?The arm in Figure P8.17 weighs 41.5 N. The force of gravity acting on the arm acts through point A. Determine the magnitudes of the tension force F, in the deltoid muscle and the force F, exerted by the shoulder on the humerus (upper- arm bone) to hold the arm in the position shown. F, 12° F, '0.080 m -0.290 m Figure P8.17A dental bracket exerts a horizontalforce of 80.0 N on a toothat point B in Figure P8.6. What isthe torque on the root of the toothabout point A?
- 28. The fishing pole in Figure P10.28 makes an angle of W 20.0° with the horizontal. What is the torque exerted by the fish about an axis perpendicular to the page and passing through the angler's hand if the fish pulls on the fishing line with a force F - 100 N at an angle 37.0° below the horizontal? The force is applied at a point 2.00 m from the angler's hands. 00 m 37.0 20.0° 100 N Figure P10.28Ob. OC L Select one Od 185.m N CW Od 1|2 Img 289. m N CCW 185. m N CCW 289. m N CW A ladder is leaning against a wall as shown on the left. The mass of the ladder is 17.5 kg. The length of the ladder is 4.00 m. The mass is uniformly distributed along the length of the ladder, so its center of mass is at the geometric center of the ladder or at half its length as shown. The angle between the ladder and the floor is 0 = 32.7°. What is the magnitude and direction of the torque created by the mass of the ladder about a pivot point which is the point at which the ladder is touching the floor (a circle is on drawing to indicate the pivot point?1.A vault is opened by applying a force of 300 N perpendicular to the plane of the door, 0.80 m from the hinges. Find the torque due to this force about an axis through the hinges.a. 120 N⋅mb. 240 N⋅mc. 300 N⋅m d. 360 N⋅m2.A meter stick is supported by a knife-edge at the 50-cm mark. Doug hangs masses of 0.40 and 0.60 kg from the 20-cm and 80-cm marks, respectively. Where should Doug hang a third mass of 0.30 kg to keep the stick balanced?a. 20cmb. 70cm c. 30cm d. 25cm3.A copper wire of length 2.0 m, cross sectional area 7.1 × 10−6 m2 and Young's modulus 11 × 1010 N/m2 has a 200-kg load hung on it. What is its increase in length? (g = 9.8 m/s2)a. 0.50 mmb. 1.0 mmc. 2.5 mm d. 5.0 mm
- A carpenter's square has the shape of an L as shown in the figure below. Locate its center of gravity. (Take (x, y) = (0, 0) at the intersection of d₁ and d₁. Assume d₁ = 20.0 cm, d₂ = 3.00 cm, d3 = 3.00 cm, and d4 = 10.0 cm.) L dz Tibbbbbb d4 i cmThe foot of a ladder rests against a wall and its top is held by a tie rope, as shown. The ladder weighs 100 N, and its center of gravity is 0.4 of its length from the foot. A 150 N child hangs from a rung that is 0.2 of the length from the top. Determine the tension in the tie rope. Tie rope 150 N won meod e jo 551ot adn 37° 100 N 0.4L10.3 A square metal plate 0.180 m on each side is pivoted about an axis through point O at its center and per- pendicular to the plate (Fig. E10.3). Calculate the net torque about this axis due to the three forces shown in the figure if the magnitudes of the forces are F₁ = 18.0 N, F₂ = 26.0 N, and F3 = 14.0 N. The plate and all forces are in the plane of the page. Figure E10.3 F₂ 0.180 m 0.180 m 45° F3 F₁