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The person in the drawing is standing on crutches. Assume that the force exerted on each crutch by the ground is directed along the crutch, as the force vectors in the drawing indicate. If the coefficient of static friction between a crutch and the ground is 0.90 , determine the largest angle $\theta^{\mathrm{MAX}}$ the crutch can have just before it begins to slip on the floor.

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$42^{\circ}$

Physics 101 Mechanics

Chapter 4

Forces and Newton’s Laws of Motion

Newton's Laws of Motion

Applying Newton's Laws

Nondumiso M.

April 12, 2021

two fruit crates connected by a rope moving at constant velocity. m1=20kg, m2=30kg . a force of 70N is applied on m2 at an anlge of 30degrees

University of Washington

Simon Fraser University

Hope College

University of Winnipeg

Lectures

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

03:43

In physics, dynamics is the branch of physics concerned with the study of forces and their effect on matter, commonly in the context of motion. In everyday usage, "dynamics" usually refers to a set of laws that describe the motion of bodies under the action of a system of forces. The motion of a body is described by its position and its velocity as the time value varies. The science of dynamics can be subdivided into, Dynamics of a rigid body, which deals with the motion of a rigid body in the frame of reference where it is considered to be a rigid body. Dynamics of a continuum, which deals with the motion of a continuous system, in the frame of reference where the system is considered to be a continuum.

10:08

The person in Figure P4.49…

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The person $\mathrm{P} 4.5…

04:39

The person in Figure P5.6 …

04:56

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01:42

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in this question have to deter mine orders. The maximum angle Tito that the Kerch can make with the ground in order not to sleep. We begin this question analyzing the forest at the ground exerts on the crutch off the right. So on these one, the force that the ground exerts on that crutch has two components one vertical component. We shall call f component why? And one horizontal component which I will call F component X. We can recognize this tree components as the two components off the contract forced. The vertical component is the normal force on the horizontal component is the frictional force. Now, remember that the maximum value off the frictional force is given by the static frictional coefficient times, times, the normal force and then the normal force is the Y component off the force F. Therefore, this is mu component s pines F component. Why? And these is the maximum frictional force? No, How can relate af component? Why, with the force f the complete force, we can do it as follows. This is a rectangle triangle. And here we have f component X f components. Why Tita and the Complete Force as the hype internews. Then we can use the co sign off Teeter to calculate as component white. The co sign off detail is It goes to AFC component. Why divided by F, which is the address and site off the triangle divided by the Fonte News, then af component Why is given by f climbs The crew Sign off. Teeter the reform. The maximum frictional force is given by mute static times f times a co sign off Dita. But no Newt that this then frictional force is our so equals to the X component off the force f Then if component X is ecause from US times F times lick of sign off detail, then we can also calculate f component X using the angle teeter. We can use the sign for that through the sign off. Kita Easy goes to the opposite side of the triangle. F Component X, divided by f then as components X is equals. Two f climbs this sign off tinta, then f times. The sign off Dita is ecosystem. You asked times f times their co sign off deeper. Then I can cancel out f on both sides of the equation and self form, you asked. We get the following sign off detail divided by the curse. Sign off detail, which is the tangent off Peter. Therefore, teeter marks. The maximum angle is given by the English tangent off US, which is the inverse tangent off 0.9, which is approximately 42 degrees.

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