Dynamics Problems

Piston-gear mechanisms. See attached file for full problem description.

dynamics problems

These problems are having to do with relative angular velocity adn acceleration. I get very close to the right answers, but i dont see where i am going wrong. can you please show me the soloutions so i can see where i went wrong on them.

Pair of blocks connected by a cord, one attached to a spring

This is one of two problems I've posted off a quiz I took last week and failed. Please give a detailed explanation when working out the problem. I'm trying to understand this so I don't fall behind in class. Thank you for all your help. Please see attached for a detailed description.

Dynamics and Vibrations

A pinned gear, D, drives an outer ring, C which is connected to three planet gears, B. If gear D rotates at a constant 3 rad/s, what is the angular velocity of gear B. The center or sun gear A is fixed (does not rotate). The raduis of the gears are: rA = 1 in, rB = 2 in, rC = 5 in, and rD = 1.5 in. (See attachment for all questions and multiple choice options)

Dynamics Problem (Torque, Acceleration)

A motor/hoist lifts a weight at B with the ideal pulley and rope system shown (*see attached). For the information given, the acceleration of B in ft/s[squared] is what? a. 9.2 b. 0.0 c. 4.6 9. 6.3 *Please see attachment for diagram and please show your work.