A 50 kg sphere is resting on a smooth horizontal surface. Plot the variation of normal force exerted on the sphere by the surface for a variation of the applied force F from 0 kN to 1 kN. Can you identify the maximum value of the applied force that will maintain the contact between the sphere and surface from your plot.
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- Consider the 63.6-kg mountain climber in the Figure below. Assume the given angle of the rope from the rock wall is 33.5 degrees instead of 31 degrees; likewise assume the angle of the climbers legs from vertical is 11.4 degrees instead of 15 degrees. Find the force that the mountain climber must exert with her feet in pounds on the vertical rock face to remain stationary. Assume that the force is exerted parallel to her legs. Also, assume negligible force exerted by her arms. 31 15 Type your answer...Estimate the magnitude of the normal force ?n acting on an apple that rests on a flat surface. ?≈ N Estimate the magnitude of the normal force on the apple when the surface is tilted at an angle of 30∘30∘ with respect to to the horizontal. ?≈ NDraw a physical model and associated FBD of the cable supporting a street lamp. Assume that the weight of the cable is negligible compared to the lamp.
- An object of mass m = 1.00 kg is observed to have an acceleration of a with a magnitude of 23.6 m/s² in a direction 0 = 63.5° east of north. The figure below shows a view of the object from above. The force F₂ acting on the object has a magnitude of 10.5 N and is directed north. Determine the magnitude and direction of the force F₁ acting on the object. 2 1 N magnitude direction East m F₁A block and a ball are connected by a string as shown in the figure. The block sits on a level, rough surface. The coefficient of static friction between the block and the surface is μ = 0.841. The ball hangs freely from the string. The mass of the block is 18.82 kg. What is the largest mass of a ball you could hang from the string without causing the block to slide?If the coefficient of static friction between all surfaces in contact is µg = 0.3 and a determine force P that must be applied to wedge A in order to lift the block weighing 500 N. The weight of wedge A is negligible compared to the block. B P
- The image below depicts the Apollo 16 Lunar Module (LM) on the moon's surface. The diagram to the right is a model of one of the four landing gear assemblies. Determine the force supported by members AB, AC, and AD under the assumption that the weight of the LM is uniformly distributed by all four landing gear assemblies. Use Mathematica or an online calculator such as the WolframAlpha 3 Equation System Solver to solve the 3 x 3 system of equations that you will end up with. Z NASA X A (2.5, 2.5, -2.2) m B (1.5, 1.5,0) m C(2, 1,-1.2) m D(1,2,-1.2) m B DConsider an object at rest on a rough horizontal surface. Which of the following is necessarily correct if we use the model of friction described in the videos and book? The force of friction on the object is smaller than or equal to μg FN, where μs is the coefficient of static friction and FN is the normal force exerted on the object by the surface. The force of friction on the object is proportional to the normal force exerted by the surface on the object. The force of friction on any object opposes motion; since the object is at rest, the force of friction is zero. The force of friction on the object is proportional to the object's weight, i.e. Ff = p.mg, where μs is the coefficient of static friction, m is the mass of the object, and g is acceleration due to Earth's gravity.A 37 N block rests on an inclined plane with a slope of 25°. What is the normal force acting on the block?
- You wish to help the child carry the backpack. Find the magnitude of force you should apply to the backpack with weight 34 lb and the angle to minimize the amount of force the child needs to provide if a is fixed at 20.1°. B = Child B W y α O You XWhat is the horizontal component of the force F that the wall exerts on the plank? Q 1900 N O −1100 N O1400 N O −3600 NA) Write an expression for the component of net force, Fnetx, in the x-direction, in terms of the variables given in the problem statement. Fnetx= Part (c) Write an expression for the magnitude of the normal force, F, acting on the block, in terms of F2, g, and the other variables of the problem. assume that the surface it rests on is ridged Part (d) Find the block's acceleration in the x-direction, ax, in meters per second squared.