Consider a box of mass m that remains still on an incline. What is the free body diagram of the box.
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Consider a box of mass m that remains still on an incline. What is the free body diagram of the box.
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- Three blocks on a frictionless surface are connected by massless strings, with M1M1 = 1.59 kg, M2M2 = 2.37 kg, and M3M3 = 3.91 kg. Due to the force F acting on M3M3, as shown, the system accelerates to the right. Given that T1T1 = 4 N, find the acceleration of block 1.? If the string stays taut, what is the acceleration of block 2? What is T2T2?A student with a mass of 46 kg stands on a bathroom scale in an elevator. What can you say about the motion of the elevator at the moment that the bathroom scale reads 360 N? Use a force diagram and be as precise as you can when answering (if you can find the exact acceleration, do that).Imagine two blocks with mass m1 and m2 sitting right next to one another on a horizontal frictionless surface. A pushing force P is exerted on block m1. How much force does m1 exert on m2. Use appropriate free-body diagrams and Newton's 2nd law to calculate the magnitude of this force.
- A block of mass M is suspended at rest by two strings attached to walls, as shown in the figure. The left string is horizontal with tension force T2 and and the right string with tension force T, makes an angle e with the horizontal. g is the magnitude of the gravitational acceleration. Which of the following statements is true? Select all apply. T2 M O The net force along the y-component is non-zero. O The acceleration along the x-component is zero. O The net force along the x-component is zero. O The acceleration along the y-component is non-zero. O The acceleration along the y-component is zero. O The acceleration along the x-component is non-zero. O The net force along the y-component is zero. O The net force along the x-component is non-zero.A coin of mass m is at rest on a book cover which is at an incline angle relative to horizontal at as shown in the figure. There is friction f between the coin and the surface of the book so that the coin does not slide down the cover of the book. 70 (A) Draw a free body diagram for the coin on the surface of the inclined book cover, including all forces acting on the block as vectors. Make sure to label the vectors. Include x and y axes in your sketch (feel free to draw axes in any orientation you would like). (B) Use Newton's second law to write equations for forces acting on the coin in x and y dimensions (separately) as a function of the frictional force f, the mass of the coin m, the gravitational constant g, and the angle of the incline 0. (C) If the coin has a mass of 5.0 grams and the coefficient of static friction us is 0.37, find the maximum angle max such that the coin is stationary (ie does not slide).#2 and 3
- Analyze the free-body diagrams (FBDs) and place them in the indicated order according to the magnitudes of their net forces.A 30Kh desk sits on the floor. Draw a free body diagram and determine the normal force on the desk.A cardboard box rests on the floor of an elevator. The box has a mass m = 2.75 kg and the elevator has an upward acceleration of a. a. Write an expression for the sum of the forces acting on the box in the y-direction, ΣFy, given that up is the positive y-direction. Your answer should be in terms of FN, m, and g. b. Write an expression for the normal force, FN, that the block experiences in terms of the elevator's acceleration, the block's mass, and the acceleration of gravity. c. If the elevator's acceleration has a magnitude of g in the downward direction, what would the normal force, FN1 be in Newtons? d.If the elevator's acceleration had a magnitude of g in the upward direction, what would the normal force FN2 be in Newtons?
- A shiny, spherical, metal alien jumps out of a perfectly good airplane and skydives for a few seconds. Its photographic friend snaps photos of the sphere with a special camera that also captures the forces on the object.A car accelerates down a hill (see figure below), going from rest to 22.0 m/s in 8.40 s. A toy inside the car hangs by a string from the car's ceiling. The ball in the figure represents the toy, of mass 0.180 kg. The acceleration is such that the string remains perpendicular to the ceiling. (a) Determine the angle e. (b) Determine the tension in the string.An object of mass m is being acted by the following 3 forces: F1 = 500 N @ 45° North of East, F2 = 750 N @ 30° West of North and F3 = 400 N @ 30° South of West. Find mathematically the magnitude and direction of a fourth force F4 that will maintain the object at equilibrium. Ignore the weight of the object. Provide free body diagram for the system and the sum of the forces along the axis.