HW15 - to find the magnitude of each of the forces acting...

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Jim Guinn’s PHYS1111 Assignment #15 Due Monday, Apr. 5, 2010 Consider a ladder of length 2.50m and mass 17.0kg , leaning against a vertical wall making an angle of θ with the floor. A firefighter with mass 80.0kg stands on the ladder a distance 2.25m from the end of the ladder on the floor. There is no friction between the ladder and the wall, and a coefficient of static friction of 0.250 between the ladder and the floor. 1. Name all of the forces acting on the ladder, give each direction, and determine where on the ladder each force acts. 2. As θ gets smaller, more friction will be required to hold the ladder in place. Assume θ is so small that the static friction has its maximum value. Solve the force equilibrium requirement
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Unformatted text preview: to find the magnitude of each of the forces acting on the ladder? 3. With the forces you found in problem 2, solve the torque equilibrium requirement to find the value of θ . [You might need to remember the trigonometric identities sin(90+ θ ) = cos θ and sin(180-θ ) = sin θ ] . 4. A horizontal spring exerts a restoring force of 25.0N when it is displaced 7.00cm . What is its spring constant? 5. A 6.50kg mass is connected to a horizontal spring which oscillates 7.00 times in 3.00sec . a.) What is the spring constant of the spring? b.) What is the maximum velocity of the mass (i.e. what is the fastest that the mass moves during the motion) if its amplitude is 4.00cm ?...
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