qz8sol_6942s11 - T in the cable The angle between the cable...

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TA: Tomoyuki Nakayama Monday, March 28, 2011 PHY 2048: Physic 1, Discussion Section 6942 Quiz 8 (Homework Set #10) Name: UFID: Formula sheets are not allowed. Do not store equations in your calculator. You have to solve problems on your own; memorizing final algebraic expressions from homework assignments and just plugging numbers into them will not give you full credit. Leave all your work. ________________________________________________________________________________ The system in the figure below right is in equilibrium. A concrete block of mass 400 kg hangs from the end of the uniform strut of mass 150 kg. The angles in the figure are φ = 25.0° and θ = 40.0°. a) What is the tension
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Unformatted text preview: T in the cable? The angle between the cable and the strut is θ – φ = 15º. Since the strut is in equilibrium, the net torque exerted on the strut is zero. We choose our rotational axis at the hinge. The balance of torques equation yields -mg(L/2)cos θ – MgLcos θ + Tsin( θ – φ )L = 0 ⇒ T = (M + m/2)gcos θ /sin( θ – φ ) = 1.38 × 10 4 N b) What are the horizontal and vertical components of the force on the strut from the hinge? The net force exerted on the strut is zero. The balance of forces equations yield x: F x – Tcos φ = 0 F x = Tcos φ = 1.25 × 10 4 N y: F y – mg – Mg – Tsin φ = 0 F y = mg + Mg + Tsin φ = 1.12 × 10 4 N...
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