Find the maximum force F that can be applied to the wedge such that m does not start to move up the inclinę. [Ans: F = (m+M)g(sinf
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- In the figure here three ballot boxes are connected by cords, one of which wraps over a pulley having negligible friction on its axle and negligible mass. The masses are mA = 26 kg, mB = 45 kg, and mC = 12 kg. When the assembly is released from rest, (a) what is the tension in the cord connecting B and C, and (b) how far does A move in the first 0.200 s (assuming it does not reach the pulley)?A stepladder of negligible weight is constructed as shown in the figure below, with AC = BC = e = 3.20 m. A painter of mass m = 65.0 kg stands on the ladder d = 3.00 m from the bottom. D E d B Assuming the floor is frictionless, find the following. (Suggestion: Treat the ladder as a single object, but also treat each half of the ladder separately.) (a) the tension in the horizontal bar DE connecting the two halves of the ladder N (b) the normal forces at A and B at A at B (c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half rightward component N upward component NA fisherman has caught a fish on his pole, and to keep the pole steady he has to apply an upward force of F2 = 240 N at an angle of 83.5° with respect to the pole (see figure). The length of his pole is 4.1 m, and he is holding it a distance 0.35 m from the end, where he is applying a downward force F1.With how much force, F1, in newtons, does he have to push straight downward on the end of his pole to keep the pole from moving? You may assume the pole is massless. F1 = What is the mass of the fish on the end of the pole, in kilograms? m =
- The human mandible (lower jaw) is attached to the temporomandibular joint (TMJ). The masseter muscle is responsible for pulling the mandible upward when you are talking or eating. It is attached at a horizontal distance of about 2.70 cm from the TMJ. The horizontal distance from the TMJ to your incisors is 6.60 cm. If the masseter muscle exerts a force of 182 N on your mandible when you bite into an apple at a constant rate, then what is the magnitude of the force exerted by your incisors on your food, assuming that both forces are vertical?A 14.0 m uniform ladder weighing 480 N rests against a frictionless wall. The ladder makes a 55.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude 342.35 direction vertical force magnitude direction towards the wall up m N ✪ N (b) If the ladder is just on the verge of slipping when the firefighter is 9.10 m from the bottom, what is the coefficient of static friction between ladder and ground? (c) What If? If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips?A bridge crossing a ravine has mass Mb and length L. The bridge is supported by pilings at points A and B at the right and left ends. A truck of mass mt stops at the point L/3 from point B. Find expressions for Fa and Fb, the forces supporting the bridge at each end.
- A man is walking over a dome of 10 m radius. How far he can descend from the top of thedome without slipping ? Take coefficient of friction between the surface of the dome andshoes of the man as 0.6. [Ans. 1.413 mFind the resultant of the three forces in the figure 68⁰ 90° 40 N 20N 60N R=120.8 NO R=18.8 NO R=70.8 NO R=100.8 NOA uniform plank of length 2.00 m and mass 27.5 kg is supported by three ropes, as indicated by the blue vectors in the figure below in each rope when a 725-N person is d = 0.500 m from the left end. magnitude of T, N magnitude of T, N magnitude of T, N 40.0° -2.00 m
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