A 8.0 kg sign hangs from the end of a metal rod with a length of 1.5 m, with its own mass of 3.0 kg. A thin, massless chain is attached to the wall 0.200m above the rod, and connects to the rod 1.30 m from the wall. Obviously, this sign is meant to remain stationary. In order for that to be true, what is the net force supplied by the wall on the rod and at what angle above the horizontal?

A three wheeled OTV has been designed such that the forces from the wheels and motors are uniform, hence the reaction forces at the point of contact with the upper surface can be modeled as a single vertical reaction support. The platform is a square with side length 200mm and has a thickness of 20mm. Plywood has a density of 0.3 g/cm^3. For the purposes of finding the platform weight, W, ignore any holes in the plywood for motor mounts. Due to a misscommunication in the team, the motor mounts M1, M2, and M3 were not attached symmetrically! The potential consequences of this are a difference in reaction forces at the platform to keep it balanced. This difference in reaction forces will result a different normal force at each wheel, and hence the potential for different traction forces, leading to an inability to drive the OTV straight. Co • F: (-75,-75) F₂: (85, -75) • F3: (15,85) -17.4319 MAT 1.338758 3.18886 7 Top View A coordinate system has been defined, such that middle of the…

Consider a uniform ladder of length 4.3 m and mass 10 kg.  The ladder is falling over, pivoting about the end that is touching the ground.  Someone is pushing on the top end of the ladder with a horizontal force of size 415 N.  At the instant when the ladder makes a 46 degree angle with the horizontal, calculate the net torque on the ladder about its bottom end, in N m.  Make your answer positive, and use g = 10 m/s2. (Please answer to the fourth decimal place - i.e 14.3225)

Your engineering firm is asked to specify the maximum load for theelevators in a new building. Each elevator has a mass 490 kg when empty and maximumacceleration 2.24 m/s2. The elevator cables can withstand a maximum tension of 19.5 kN beforebreaking. For safety, you need to ensure that the tension never exceeds two-thirds of that value.What is the maximum load that the elevator can safely carry? How many70-kg people is that?Briefly but clearly explain the reasoning for your choice of the sign of the acceleration.