You and a friend are raising a beam, but your friend's rope is too short so you lift him off the ground. At the current time, everything is static. The tension in your cord is 1045.6 N, the mass of the beam is 15 kg, and the mass of your friend is 85 kg. The length of the beam is 4.9 m, d = 3.9 m, theta = 43.5 degrees, phi = 62.5 degrees. If you choose the base of the beam as the origin, and the positive torque direction as counter-clockwise, what is the torque from your cord on the friend+beam system?

(Scale: 45 m @ 60° Northwest 18 m 24 m East 34 m North 2. A car is driven 220 km East and then 80 km @ 30° Northeast. What is the displacement of the car from the point of origin? (Scale: 1 cm = 20 km Use Tip-to-Tail Method) 1050 N act at the same point of an object and make West while the 250 N acts Force 10 N Southeast Scale

A mechanical system consists of a ("long") rigid rod of length d and mass M, and another ("short") rigid rod of length I and mass m. The rods are attached at a fixed 90° angle such that the endpoint of the long rod touches the middle of the short rod; see the figure below. The mass per unit length of the rods is constant. The system can move in a vertical plane (x, y) with the endpoint O of the long rod fixed, so that the system is free to oscillate in the vertical plane about the point O. Gravity acts along the vertical y direction. 0 d a) How many degrees of freedom does the system have? [Expect to use a line to answer this question.] â b) Calculate the moment of inertia of the system constituted by the rods about an axis orthog- onal to the plane (x, y) and passing through O. Assume that the widths of the rods are negligible, so that you can effectively treat them as one-dimensional objects. [Expect to use about half a page to answer this question.] c) Determine the distance of the…

The traffic light shown below is supported by a system of cables. Points A and B are in a vertical plane which is parallel to the x-z plane. Point C is in the y-z plane. B Z X The traffic light has a mass of 75 kg The distances are: a = 4m, b = 6 m, c = 9 m, h = 6 m To answer the next set of questions you will determine the following: a. Position vectors for OA, OB, OC b. Unit vectors for OA, OB, OC c. Overall equilibrium equation d. Equilibrium equations in each of the x, y and z directions e. The tensions in the cables OA, OB and OC The traffic light has a mass of 75 kg. The distances are: a = 4 m, b = 6 m, c = 9 m, h = 6 m. Determine the position vector for OA. The position vector FOA can be written in the form: TOA = TOAzi+TOAİ+TOA-k You will have to input each of these three components separately below. Given: • The x component of the position vector,IOA = 4 m. • They component of the position vector,TOA = -9 m. 1. What is the z component of the position vector,TOA? Please report…