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12) Overcoming Static Friction: A block of mass m, is placed on the face of a wedge-shaped block that is inclined at an angle 8, F as depicted in the figure. The wedge has mass m, and can slide freely (i.e. with no friction) over a level surface. m, There is enough static friction between the blocks so that the smaller block does not slide when it is in initially placed on the wedge. You then apply a constant horizontal force, F, on the wedge, as shown. Increasing this force, you find that at some critical value, F, the smaller block starts to slide. Find the dependence of F_ on m, , m,, 0 and the coefficient of static friction, 4.. a) Sketch the System Diagram, or the FBDS for the two masses b) Write Newton's 2nd Law in vector form for each mass c) Choose a basis (note that the Cartesian basis shown is an inertial reference frame)

12) Overcoming Static Friction: A block of mass m, is placed on the face of a wedge-shaped block that is inclined at an angle 8, F as depicted in the figure. The wedge has mass m, and can slide freely (i.e. with no friction) over a level surface. m, There is enough static friction between the blocks so that the smaller block does not slide when it is in initially placed on the wedge. You then apply a constant horizontal force, F, on the wedge, as shown. Increasing this force, you find that at some critical value, F, the smaller block starts to slide. Find the dependence of F_ on m, , m,, 0 and the coefficient of static friction, 4.. a) Sketch the System Diagram, or the FBDS for the two masses b) Write Newton's 2nd Law in vector form for each mass c) Choose a basis (note that the Cartesian basis shown is an inertial reference frame)

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[2] Overcoming Static Friction: A block of mass m, is placed on the face of a wedge-shaped block that is inclined at an angle 6, as depicted in the figure. The wedge has mass m, m, and can slide freely (i.e. with no friction) over a level surface. There is enough static friction between the blocks so that the smaller block does not slide when it is in initially placed on the wedge. You then apply a constant horizontal force, F, on the wedge, as shown. Increasing this force, you find that at some critical value, F, the smaller block starts to slide. Find the dependence of F on m, , m,, 8 and the coefficient of static friction, 4g. a) Sketch the System Diagram, or the FBDS for the two masses b) Write Newton's 2nd Law in vector form for each mass c) Choose a basis (note that the Cartesian basis shown is an inertial reference frame) d) Write the equations for the components in your basis e) Solve the component equations for F. f) Physically interpret the behavior of your solution for limiting cases of the angle e
Transcribed Image Text:[2] Overcoming Static Friction: A block of mass m, is placed on the face of a wedge-shaped block that is inclined at an angle 6, as depicted in the figure. The wedge has mass m, m, and can slide freely (i.e. with no friction) over a level surface. There is enough static friction between the blocks so that the smaller block does not slide when it is in initially placed on the wedge. You then apply a constant horizontal force, F, on the wedge, as shown. Increasing this force, you find that at some critical value, F, the smaller block starts to slide. Find the dependence of F on m, , m,, 8 and the coefficient of static friction, 4g. a) Sketch the System Diagram, or the FBDS for the two masses b) Write Newton's 2nd Law in vector form for each mass c) Choose a basis (note that the Cartesian basis shown is an inertial reference frame) d) Write the equations for the components in your basis e) Solve the component equations for F. f) Physically interpret the behavior of your solution for limiting cases of the angle e
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