Q2) Derive the equation of motion of figure 2. 2m massless beam

Drop-load (III) context We want to lower a suspended load in a controlled way, so that it hits the ground with a speed whose modulus is not too great. To do this, the suspended load (B) is connected by a rope passing through a pulley to another mass (A), which can move on an inclined surface. Information The masses of charges A and B are known.The pulley is a solid cylinder (or disc) of mass mp and radius R which can turn without friction.The surface on which mass A is placed is horizontal.There is friction between mass A and the surface on which it is placed, the coefficient of friction is uc.Mass A is on a surface tilted by an angle delta.The rope attached to mass A is perfectly parallel to the surface on which the mass is placed. Modelization Create a model for the acceleration of mass B given the known parameters of the problem that are relevant. Mass of load A: 70kg; Mass of the suspended load (B): 82kg; Pulley mass (mp): 52kg Pulley radius: 0.46m Coefficient of friction: 0.12…

A wooden beam is loaded by a distributed load w = 6 N/mm as shown in Figure Q4(a). The cross-section of the beam is shown in Figure Q4(b). Assume that LAB = 1900 mm, L BC = 3100 mm, W=200 mm, Bo = 30 mm, and H = 200 mm, ho=20 mm. %3D Units: use N, mm, MPa as consistent units for all calculations. Decimal points: any decimal points are fine and all the numerical questions have a 10% error tolerance. Steps: Fill the gaps in the "steps" to get some marks from the working-out process. Adaptive marking is still used. (a) (b) W hol Во H B LAB LBC Cross-section W Figure Q4: (a) A wooden beam is loaded by a distributed load, (b) cross-section of the beam.

In the figure below, a ball is thrown up onto a roof, landing 4.14 s later at height h = 24.5 m above the release level. The ball's path just before landing is angled at @ = 60.0° with the roof. (Let the positive x direction be to the right, and the positive y direction be upward.) (a) Find the horizontal distance d it travels. (Hint: One way is to reverse the motion, as if on video.) (b) What is the magnitude of the ball's initial velocity? (c) What is the angle (relative to the horizontal) of the ball's initial velocity?