Phys101 Term:122 Online HW-Ch12-Lec02 Q1: A picture P of weight W is hung by two strings as shown. The magnitude of the tension force of each string is T. The total vertical component of the pull of the strings on the picture is: A. B. C. D. E. 2Wcosθ Wsinθ 2Tsinθ Tcosθ 2Tcosθ Tsinθ Tsinθ |Mg �⃗| = W Ans: C ; Total vertical component of the pull of the strings is Tsinθ + Tsinθ = 2Tsinθ Q2: A uniform rod AB is 1.2 m long and weighs 16 N. It is suspended by strings AC and BD as shown. A block P weighing 96 N is attached at E, 0.30 m from A. Find the magnitude of the tension force (in N) of the string BD. (Give your answer in three significant figures form) TAC TBD 0.3 Mg = 16 N W = 96 N Ans: τ�⃗net = 0 ⇒ τ�⃗TAC + τ�⃗TBD + τ�⃗w + τ�⃗mg = 0 Choose A to be axis of rotation ⇒ τ�⃗TAC = 0 −τw − τMg + τTBD = 0 ⇒ − W(03) − Mg(0.6) + T(1.2) ⇒ T = �W(0.3)� + Mg((0.6) )/1.2 = 32.0 KFUPM-Physics Department 1 Phys101 Term:122 Online HW-Ch12-Lec02 Q3: A 5.0 m long rod with a radius of 0.34 m and a Young's modulus of 125×108 N/m2 is fixed horizontally at one end. A force of 5000 N is applied outwardly to the other end. Find the elongation of the rod (in m). (Give your answer in three significant figures form) �⃗ F 𝐀𝐧𝐬: L0 = 5 m ; V = 0.34 m; E = 125 × 108 N/m2 ∆L = ? F ∆L =E A L0 ⇒ ∆L = F 5000 × 5 L0 = = 5.51 × 10−6 m 8 AE 0.363 × 125 × 10 KFUPM-Physics Department 2
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