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Two wheels A and B with weights w and 2w, respectively, are connected by a uniform rod with weight w/2, as shown below. The wheels are free to roll on the sloped surfaces. Determine the angle that the rod forms with the horizontal when the system is in equilibrium. Hint: There are five forces acting on the rod, which is two weights of the wheels, two normal reaction forces at points where the wheels make contacts with the wedge, and the weight of the rod.
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- A metal rod 6.00 m long is held in a horizontal position. An object with mass 3.70 kg is suspended from a light rope that is attached 4.00 m from the left-hand end of the rod, as shown in the figure below. Take counterclockwise torques to be positive. For an axis at the right-hand end of the rod, what is the torque exerted on the rod by the tension in the rope? 6.00 m |axis 4.00 mA 10.0 m long ladder weighing 50.0 N rests against a smooth vertical wall. If the ladder is just on the verge of slipping when it makes a 50.0° angle with the ground find the coefficient of static friction between the ladder and ground. The ladder is in equilibrium. This means that the torque around ANY pivot point must be zero. In problems like this, you can pick the pivot point of your choice, and still solve for the correct forces. However, there is typically a choice for the pivot point that makes the problem solving steps possible or at least easier. This will depend on the problem, but often depends on the fact that the torque due to a force at the pivot point is zero. This lets you ignore those torque terms in your calculations. a. What is the best choice of pivot point for this problem? Select one: A. The base of the ladder B. The center of mass of the ladder C. The top of the ladder By selecting the base of the ladder, you can ignore the torque due to both the…In part b) the moment which is in red color why doesn't equal -T( AP + Radius ) since they are perpendicular. Why did he use the components of T
- The drawing below shows two forces acting on a rigid beam. The blue dot is the center of mass of the beam. The forces (red arrows) are equal in magnitude. Consider the net force on the beam and net torque about its center. Which of the following statements are true? Check ALL that apply. The net force is zero. The net force is not zero. The net torque is zero. O The net torque is not zero.A man holds a 195-N ball in his hand, with the forearm horizontal (see the figure). He can support the ball in this position because of the flexor muscle force M , which is applied perpendicular to the forearm. The forearm weighs 20.7 N and has a center of gravity as indicated. Find (a) the magnitude of M and the (b) magnitude and (c) direction (as a positive angle counterclockwise from horizontal) of the force applied by the upper arm bone to the forearm at the elbow joint. Upper arm bone- Flexor muscle M Elbow cg joint 0.0510 m+ 0.0890 m -0.330 m- (a) Number i Units (b) Number i Units (c) Number i Units >A 1 490-kg automobile has a wheel base (the distance between the axles) of 2.70 m. The automobile's center of mass is on the centerline at a point 1.05 m behind the front axle. Find the force exerted by the ground on each wheel. each front wheel _______kN each rear wheel _______kN
- Hand written and clean answerThe swimmer in the figure below propels himself forward by exerting a 138 N backward force on the water with his hand. He experiences a forward reaction force F of magnitude 138 N. Find the magnitude and direction of the torque exerted on the arm by F about an axis through point O. (Let d = 43.0 cm.) magnitudeThe center of mass of the arm shown in the figure is at point A. Find the magnitudes (in N) of the tension force F and the force F which hold the arm in equilibrium. (Let 8 = 24.0°.) Assume the weight of the arm is 48.3 N. IF 8.00 cm 29.0 cm 1₂ 354 X Draw a diagram showing the forces and distances. Find the sum of the torques about point O, and set this equal to zero. Solve your equation for F₁. N 340.30 X Apply Newton's second law in the x and y directions, and solve for F Sx Pythagorean theorem to calculate F. . N and F You will need your value of F. Then use the sy'