Two metal disks, one with radius r1 = 2.45 cm and mass m1 = 0.900 kg and the other with radius r2 = 5.00 cm and mass m2 = 1.60 kg, are welded together and mounted on a frictionless axis through their common center. a light string is wrapped around the edge of the smaller disk and a 1.60 kg block is suspended from the free end of the string. (a) what is the magnitude of the downward acceleration of the block after it is released? (b) repeat the calculation of part (a), this time with the string wrapped around the edge of the larger disk.

Ablock of mass m = 2.5 kg is attached to a spring with spring constant k = 710 n/m. it is initially at rest on an inclined plane that is at an angle of θ = 23° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.19. in the initial position, where the spring is compressed by a distance of d = 0.16 m, the mass is at its lowest position and the spring is compressed the maximum amount. take the initial gravitational energy of the block as zero. a) what is the block's initial mechanical energy? b) if the spring pushes the block up the incline, what distance, l, in meters will the block travel before coming to rest? the spring remains attached to both the block and the fixed wall throughout its motion.

Determine the change in width a, height b, thickness t when a plate is subjected to the uniform distributed load and is made of material having modulus of elasticity e=230 gpa and poisson's ratio ν=1/3. given : a=400 mm and b= 300 mm also the uniformly distributed load in downward y direction of plate is 2 mn/m and in the positive x direction is 3 mn/m and t=20 mm

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