A uniform rod has one end attached to a vertical wall by a frictionless hinge. A horizontal wire runs from the other end of the rod to a point on the wall above the hinge and holds the rod at an angle θθ above the horizontal. You vary the angle θθ by changing the length of the wire, and for each θθ you measure the tension TT in the wire. You plot your data in the form of a TT-versus-cotθcot⁡θ graph. The data lie close to a straight line that has slope 21.0 NN. What is the mass of the rod? Express your answer

A uniform rod has one end attached to a vertical wall by a frictionless hinge. A horizontal wire runs from the other end of the rod to a point on the wall above the hinge and holds the rod at an angle θθ above the horizontal. You vary the angle θθ by changing the length of the wire, and for each θθ you measure the tension TT in the wire. You plot your data in the form of a TT-versus-cotθcot⁡θ graph. The data lie close to a straight line that has slope 21.0 NN. What is the mass of the rod? Express your answer

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 64PQ: A One end of a metal rod of weight Fg and length L presses against a corner between a wall and the...

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A uniform rod has one end attached to a vertical wall by a frictionless hinge. A horizontal wire runs from the other end of the rod to a point on the wall above the hinge and holds the rod at an angle above the horizontal. You vary the angle by changing the length of the wire, and for each you measure the tension T in the wire. You plot 0 your data in the form of a T-versus-cot graph. The data lie close to a straight line that has slope 21.0 N. Part A What is the mass of the rod? Express your answer with the appropriate units. m = Submit μA Value kg Previous Answers Request Answer ? X Incorrect; Try Again; 3 attempts remaining
a) Cables AC and BC are connected to lifting points A & B, and joined together at C as shown in Figure Q1a. The angle = 200 and angle B = 50°. If the tension in each cable is 3.75 KN, calculate the force (F) and the angle a required to maintain point C in static equilibrium. Give your answers for F in kilonewtons (kN) and the angle a in degrees to two decimal places. A 3 F α B O
A block is resting on a wooden plank. There is a hinge on one end of the plank which allows the other end to be lifted to create an angle, θ, with respect to the horizontal as shown in the figure. The coefficient of static friction between the block and the plank is μs. If a student measures that the block begins to move at an angle of θ = 20.5°, what is the numerical value of the coefficient of static friction, μs?
A 1.50×103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car’s front at an angle 27.0◦ with respect to the ramp’s surface. The other end of the cable is attached to a wall perpendicular to the horizontal and the ramp is raised 30.0◦ above the horizontal. a. Find the force exerted by the ramp on the car’s wheels.
A 1.50×103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car’s front at an angle 27.0◦ with respect to the ramp’s surface. The other end of the cable is attached to a wall perpendicular to the horizontal and the ramp is raised 30.0◦ above the horizontal. c. Suppose the wall where the other end of the cable was attached was replaced by a rotating motor. If the car is now accelerating towards the peak of the ramp at 3.00 m/s2 due to the rotating motor, how much tension is being exerted by the cable on the car?
A 1.50×103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car’s front at an angle 27.0◦ with respect to the ramp’s surface. The other end of the cable is attached to a wall perpendicular to the horizontal and the ramp is raised 30.0◦ above the horizontal. a. Find the force exerted by the ramp on the car’s wheels. b. Find the tension on the cable.
A 1.50×103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car’s front at an angle 27.0◦ with respect to the ramp’s surface. The other end of the cable is attached to a wall perpendicular to the horizontal and the ramp is raised 30.0◦ above the horizontal. b. Find the tension on the cable.
A cable stretched between the fixed supports A and B is under a tension T of 1.4 kN. Express the tension as a vector using the unit vectors i and j, first, as a force Tд acting on A and second, as a force Tg acting on B. 520 mm A 320 mm y | 1 L Answers: TA= i TB=(i i+ i+ Mi i B j) kN j) kN
You are working in an ice skating rink and have been asked to hang a new banner on the wall. Your friend is helping you so that the ladder does not collapse by exerting a force F_AL at an angle ϕ relative to the horizontal. The ladder has a length L and makes an angle of θ with respect to the vertical wall. You have a mass, m_Y, and are a horizontal distance x from the wall. The ladder has a mass of m_L. Because the wall is slick, and the ice on the floor is slick, the frictional forces acting on the ladder are negligible. Find a formula for the magnitude of the force that your friend must exert to keep the ladder from falling, in terms of the following variables: x,L,m_Y,m_L,θ,ϕ. Then use the following values to get a number for the magnitude of F_AL. θ = 30.3 degrees ϕ = 23.028 degrees x = 1.491 meters L = 7.1 meters m_Y = 86.0 kg m_L = 42.14 kg Find the magnitudes of: F_AL, normal force of the wall on the ladder (N_WL), and normal force of the floor on the ladder (N_FL).
The mandible (lower jaw) is attached to the temporomandibular joint (TMJ). The masseter muscle is responsible for pulling the mandible upward when you are talking or eating. It is attached at a horizontal distance of about 2.40 cm from the TMJ. The horizontal distance from the TMJ to your incisors is 6.60 cm. If the masseter muscle exerts a force of 198 N on your mandible when you bite into an apple at a constant rate, then what is the magnitude of the force exerted by your incisors on your food, assuming that both forces are vertical?
The human mandible (lower jaw) is attached to the temporomandibular joint (TMJ). The masseter muscle is responsible for pulling the mandible upward when you are talking or eating. It is attached at a horizontal distance of about 2.60 cm from the TMJ. The horizontal distance from the TMJ to your incisors is 6.60 cm. If the masseter muscle exerts a force of 208 N on your mandible when you bite into an apple at a constant rate, then what is the magnitude of the force exerted by your incisors on your food, assuming that both forces are vertical?
When the load L is 4.7 m from point C, the tension T in the cable has a magnitude of 5.4 kN. Express T as a vector using the unit vectors i and j. Assume a = 4.7 m, b = 2 m, c = 4.3m. T x j) kN L b Answer: T = (i it i