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- A uniform disk with mass m = 8.57 kg and radius R = 1.36 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 338 N at the edge of the disk on the +x-axis, 2) a force 338 N at the edge of the disk on the –y-axis, and 3) a force 338 N acts at the edge of the disk at an angle θ = 31° above the –x-axis. 1) What is the x-component of the net torque about the z axis on the disk? 2) What is the magnitude of the angular acceleration about the z axis of the disk? 3) If the disk starts from rest, what is the rotational energy of the disk after the forces have been applied for t = 1.6 s?The figure below shows an arm that is balancing a carton of milk in the hand. The mass of the carton of milk is 1.77 kg, and in the figure is the gravitational force on the carton. The biceps muscle applies a force Fg to the forearm directed up and to the right at an angle of 75.0° from vertical. The point where F is applied to the forearm is 8.00 cm to the left of the elbow joint and 25.0 cm to the right of the center of gravity of the milk carton. (For simplicity, ignore the weight of the forearm.) B Milk N -25.0 cm- What is the magnitude of FB (in N)? 75.0⁰ 8.00 cm iPROBLEM 02 Find the angle between two vector forces whose magnitudes are F and 3F and the magnitude of whose resultant 19 3F. PROBLEM 03 A force T passing through points A and B as shown, has a counterclockwise moment of 400 KN-m about point O. If the coordinates of points A and B are (0,6) and (8,0) in meters, compute the value of force T. PROBLEM 04 The resultant of the concurrent forces shown 15 1OOKN with O, of 60° directed DR. Determine the unknown force. Figure, PROBLEM 05. Refer to problem SP203. Q = 10 KN %3D Change P=25 KN up to the left at 30 degrees w/ x-axis, Q=30 KN, W=35 KN, T=18 KN directed to the right. F = ? 3| 4 P = 30 KN T = 20 KN
- The figure below shows an arm that is balancing a carton of milk in the hand. The mass of the carton of milk is 1.07 kg, and F in the figure is the gravitational force on the carton. The biceps muscle applies a force F to the forearm directed up and to the right at an angle of 75.00 from vertical. The point where F is applied to the forearm is 8.00 cm to the left of the elbow joint and 25.0 cm to the right of the center of gravity of the milk carton. (For simplicity, ignore the weight of the forearm.) Milk 75.0 25.0 cm 8.00 cm What is the magnitude of F (in N)? B tThe resultant of the three concurrent forces acting on the eyebolt is the force R = 600j l Determine the magnitude of the force P and the angle θ that specifies the direction of the 800-lb force.Fe -4i+4j+2k LB 6IN Determine the moment due to the force about point 0, expressing the moment as a Cartesian Vector.
- Determine the equivalent force-couple system at the center O for each of the three cases of forces (F = 340 N) being applied along the edges of a square plate of side d = 230 mm. The couple is positive if counterclockwise, negative if clockwise. y y F d F -d- F Answers: (a) R=( i i+ i j) N, Mo = i N-m (b) R= ( i i+ j) N, Мо- N-m (c) R= ( i i+ j) N, Mo = N-mThe three forces acting on the pole are equivalent to a single force R. Determine (a) the magnitude of R; and (b) the coordinates of the point where the line of action of R crosses the xy-plane 120 lb 30° 30° 80 lb 160 lb y 50° 60 ft 30 ftWhile installing new spark plugs in your car, the manual specifies they be tightened to 43 Nm. If you can only apply a force to the wrench 22 cm from the plug, and only at an angle of 62 degrees, What magnitude force should you apply to the wrench?
- (a) What will an object weigh on the Moon’s surface if it weighs 100 N on Earth’s surface? (b) How many Earth radii must this same object be from the center of Earth if it is to weigh the same as it does on the Moon?Determine the equivalent force-couple system at the center O for each of the three cases of forces (F = 370 N) being applied along the edges of a square plate of side d = 480 mm. The couple is positive if counterclockwise, negative if clockwise. y F y y F d - x F Answers: (a) R = j) N, Mo = N-m (b) R = j) N, Mo = N-m (c) R = j ) N, Mo = N-m +The 6.8-kg frame AC and 2.8-kg uniform slender bar AB of length lslide with negligible friction along the fixed horizontal rod under the action of the 75-N force. Calculate the tension Tin wire BC and the magnitude FA of the force exerted on the bar by the pin at A. The x-y plane is vertical. 75 N 52° 52 B Answers: T = ! N FA = ! N lle