By Sir James H. Jeans, Physics
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Ans. 500 kgf. 89. A chain OO, of a self-gripping device is hinged at O with the rods OC=OD=60 cm (Fig. 75). The rods are hinged with two equal bell-cranks CAE and DBF which rotate about points A and B on the connecting bar GH. Two special shoes hinged at E and F 4; ;* ta ,, Wl # ‘ O' ” ii A 5 :o aura; »—-—·=·»— 0: CB _\> \ S . 2. 0. F 'A Fig. 74 Fig. 75 hold a load Q= 1000 kgf by means of friction. The distance between the point E and the bar GH is EL=5O cm, and between the point E and the rod OC is EN=l m.
Determine the reactions of the supports. Ans. RA=l25,000 kgf; RB=RC=60,000 kgf. All reactions pass through the centre of the sphere. 118. Determine the force in the vertical pole and the force in the struts of the crane, which form an angle oi, as shown in Fig. 103. AB=BC=AD=AE. The joints at points A, B, D and E are hinged. Ans. SBD=P(cos a—sin oi); SBE=P(cos cz-1-sin ci); $Aa= —— P]/`2"cos o. 4/ 60 j f . . \ 0 . ` • A / \. ’ i¤‘”“ 0 -56. V Fig. 103 Fig. 104 119. A corner post holding an overhead cable is supported by two guys AC and AD (Fig.
Ans. The cycloid x=20t——sin 201}; y=l—cos 20!. 165. 9t2, where x, y are measured in metres and t in seconds. Take the origin of the coordinate system to be the point when the load is released. The axis gg: is horizontal and the axis Oy is directed vertically downwards. etermine the equation 60 of the path of the load. Find also the time of falling and the range of its horizontal flight if the aircraft flies at the altitude h=3000‘m. Ans. 6 m. ll. Velocity of a Particle 166. The equation of motion of a frame of a circular eccentric is x=e (l—cos mt), where x is measured in centimetres and t in seconds; e is the eccentricity; no is the angular velocity of the eccentric (2 and m are constants).
An elementary treatise on theoretical mechanics by Sir James H. Jeans, Physics