Prove that a force F(x, y, z) is conservative if, and only if, the following relations are satisfied:
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- Find the net force and its directionarrow_forwardThe forces acting on a tripod carrying camera is an example of system of forces. Coplanar Non concurrent Non coplanar Non concurrent O Coplanar concurrent Non coplanar concurrentarrow_forwardThe vertical reaction at support O is directed to the positive direction of the x axis y 3 ft 5 ft 3 ft В 6 ft 60 lb 250 lb 175 lb 5 ft O True O Falsearrow_forward
- A couple is a free vector. O true O false If a system is in equilibrium, the sum of all forces acting on the system Must be zero. O false O truearrow_forwardAssume the following force vectors. These are the only forces acting on the object. Cable AB: F A B = A B k Cable AC: F A C = − 0.55 ⋅ A C i − 0.50 ⋅ A C j + 0.85 ⋅ A C k Cable AD:F A D = 0.25 ⋅ A D i − 0.45 ⋅ A D j + 0.85 ⋅ A D k Applied force 1 (weight): P 1 = − 25 k Applied force 2: P 2 = 12 j a) correct equation for equilibrium in the x-direction? b) correct equation for equilibrium in the y-direction? c) correct equation for equilibrium in the z-direction?arrow_forwardQ.4) A moment and four forces are applied to a two-dimensional frame as shown in figure below. Replace the given force system by a resultant force system acting at point A. Then replace the resultant force system by the simplest resultant and find x and y intercepts of its line of action. 70 lb с 12 in 100 lb 18 in. 90 lb y 14 in. ↓ A B D K E 120 lb-in. - X 15 in. 16 in → G 15 in.- F 80 lbarrow_forward
- entalsOfBiomechanics.pdf - Adobe Acrobat Reader DC (32-bit) Sign Window Help Sign 2017 Book_Funda. x 124% 32 (46 of 459) Problem 2.3 Consider the two forces, F, and F2, shown in Fig. 2.17. Assume that these forces are applied on an object in the xy-plane. The first force has a magnitude F1 = 15 N and is applied in a direction that makes an angle a = positive x axis, and the second force has a magnitude F2 = 10 N and is applied in a direction that makes an angle B = 45° with the negative x axis. FR 30° with the (a) Calculate the scalar components of F, and F2 along the x and directions. Fig. 2.17 Problem 2.3 (b) Express F, and F2 in terms of their components. (c) Determine an expression for the resultant force vector, FR. (d) Calculate the magnitude of the resultant force vector. (e) Calculate angle 0 that FR makes with the positive y axis. Answers:arrow_forwardFind the resultant force of the following? B. 2 m Fg = 600 N 3.5 m %3D 0.5 m Fc= 450 N 1.5 m 1m 0.5 m 1.5 m yarrow_forward2. A 150 kg uniform beam is attached to a vertical wall at one end and is supported by a vertical cable at the other end. a) Calculate the magnitude of the vertical component of the force that the wall exerts on the left end of the beam if the angle between the beam and the horizontal is 8 = 28⁰. N ‹951 hk951 hk9V hk951 hk951 hk951 hk951 hk951 hk? 951 hkk951 hk951 hk 115644 1568411514 15644 15674 15694 1 hk951 194 1051 hk951 Beam k951 hk951 hk951 hk951 hk951 hk9: 51 1951 hk951 hk951 hk951 hk9 951 hk951 hk951 hkarrow_forward
- Consider three forces P1, P2, and P3, where P1 = 165 lb, P2 = 135 Ib, and P3 = 95 Ib. Determine the x and y components of each of the forces shown. %3D |y 30° 40° 45° P3 P1 P2 | lb. |lb. | lb. The x component of force P1 is The y component of force P1 is The x component of force P2 is The y component of force P2 is The x component of force P3 is The y component of force P3 i Ib. Ib. Ib.arrow_forward4) A ring fastened to a beam has two ropes attached. These two ropes exert forces on the ring. F₁ is applied at an angle of 20° from vertical. F₂ is applied at an angle of 0° from vertical. It is desired that the combined force on the ring is 1000N straight down. If 8° = 30°, then what are the forces, F₁ and F₂, in each rope? F2 0 8-300 20° F₁arrow_forwardQ2 Table Force is a device in the laboratory that is subjected to three concurrent and coplanar forces. Determine the magnitude and direction of the resultant F>=200 N force. F= 250 N F= 400 Narrow_forward
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