A block of mass m1 = 3.60 kg on a frictionless inclined plane of angle 30.0° is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 2.00 kg hanging vertically.   (a) What is the magnitude of the acceleration of each block? m1 =   m/s2 m2 =   m/s2 (b) What is the direction of the acceleration of m2? m2 accelerates downwardsnot enough information    m2 accelerates upwards (c) What is the magnitude of the tension in the cord?  N

1. Two blocks are connected by a pulley system shown in the figure below. Neglect friction between the block on the left and the ramp sloped at angle 0. Suppose that the block on the left has mass m, and that the block on the right is moving downward at a constant speed v. m Given m, 0, and v, answer the questions below. (a) Find the mass of the block on the right? (b) Find the velocity of the block on the left. (c) If the block on the right was moving at a constant speed v upward, instead of downward, how would your answer to Question la change?

Derive the equations of motion using Lagrange's equations. (I, =mr? ) THE MOTION IS ON THE HORIZONTAL PLANE (NO GRAVITY) Trailer, mass M Cylinder, k1 mass m k2

Define the term Zero slope?

dsphere dbar • Given the above system, two spheres attached to the ends of a cylinder, determine the mass moment of inertia about the axis normal to the page as a function of the variables provided. Note, you can treat the masses of each element of the system as known o (msphere and mbar). After deriving an expression for the mass moment of inertia about the axis normal to the page as a function of the variables, calculate the mass moment of inertia given: osphere properties ▪ mass of sphere = 5 kg 1 diameter of sphere = 0.5 m bar properties ▪ • Determine the resultant force and moment acting on the system if the system is moving as follows: mass of bar = 25 kg length of bar = 7.5 m diameter of bar = 0.25 m O a = 5î+ 2ĵ m/s² O αG = 7k rad/s² ασ