Two Physics problems (angular velocity/acc) and Force by a stopper

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SUMMARY

This discussion addresses two physics problems involving angular velocity and force calculations. The first problem requires determining the angular velocity (θ') and angular acceleration (θ'') of a crank OP with a radius of 8.00 inches, moving at a constant velocity of 4.00 inches per second at an angle of 50.0º. The second problem involves calculating the maximum force experienced by a vertical steel rod with a collar weighing 5.00 lbs, released from a height of 18.0 inches. Key values include the steel's modulus of elasticity (ESTEEL) of 29000 ksi and the rod's diameter of 1/8 inch.

PREREQUISITES
  • Understanding of angular motion concepts, specifically angular velocity and angular acceleration.
  • Familiarity with basic mechanics, including forces acting on objects in motion.
  • Knowledge of material properties, particularly the modulus of elasticity for steel.
  • Ability to apply kinematic equations in physics problems.
NEXT STEPS
  • Review the equations for angular motion, including θ' and θ'' calculations.
  • Study the principles of forces acting on objects in free fall and their impact on structures.
  • Learn about the properties of materials, focusing on the significance of modulus of elasticity in engineering.
  • Explore problem-solving techniques for physics homework, including step-by-step approaches to complex problems.
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Students studying physics, particularly those tackling mechanics problems, as well as educators seeking to enhance their teaching methods in angular motion and force analysis.

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Homework Statement



1) The horizontal slot guide C moves downward at a constant velocity of 4.00 in/sec. Crank OP (radius rOP) is pinned at O and point P slides freely in horizontal slot guide. At the instant shown determine:
a) θ’ (The angular velocity of OP)
b) θ’’ (The angular acceleration of OP)
θ = 50.0º rOP = 8.00 in

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2) Collar C (weight w) is free to slide on the vertical steel rod (diameter d; length L). The collar is released from rest at a height of h above stopper A at the end of the rod. Determine the maximum force experienced by the rod.
w = 5.00 lbs d = 1/8 in
L = 2.00 ft h = 18.0 in
ESTEEL = 29000 ksi;

Image
number3.png



The Attempt at a Solution



I don't even know where to start. My professor didn't put up the equation sheet and I didn't understand it when he did it in lecture earlier today. If someone could patiently help me through this I would appreciate it.
 
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Well I tried the fist one a bit and got:

(all taken from starting with y = 8cos(theta)
Angular velocity equal to -.6527 and angular acceleration to be -.35747.

The second one I believe I need a formula for, and have no idea.
 

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