Q₁: The system shown has two masses. Beam of mass (J.*m L² kg.m²) rotates about fixed point (O) and its free end is connected to disk rotates about fixed point (O₂). Consider all connecting links are massless and rigid. Find 1- The displacements of points A, B, and C in addition to the rotations of masses, all in terms of 0. 2- Find the equation of motion (EOM) in terms of 0. 3- What is the natural frequency of the system? L/2 A Jo=m L² k L/2 Joz-m R² R H B с 120

B3

PROBLEM1: Determine the equation of motion of the following systems: 1080 al*k www 0.51 ghiv Vin & Mass Less, Rigid L J Figure 2-Problem 1-2 a3*m

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…