. A text book of physics, for the use of students of science and engineering . FIG. lIOS.—Tensions in the ropeat different parts ol the arc ol ClllltlCI I . h. IV ? Ant ,0-73 :?: •greetHoi XIII FRICTION 179 arcs are all equal, it is reasonable to suppose that the ratios ofthe tensions in the rope at the beginning andare equal, end of each arc. _b __c T„ Tr Tc ^E (1) B C D E 2 This assumes that the surfacesare such that the value of thecoefficient of friction is the samethroughout, and the result isconfirmed approximately by ex-periment. Expt. 31.—Friction of a cordcoiled round a post.
. A text book of physics, for the use of students of science and engineering . FIG. lIOS.—Tensions in the ropeat different parts ol the arc ol ClllltlCI I . h. IV ? Ant ,0-73 :?: •greetHoi XIII FRICTION 179 arcs are all equal, it is reasonable to suppose that the ratios ofthe tensions in the rope at the beginning andare equal, end of each arc. _b __c T„ Tr Tc ^E (1) B C D E 2 This assumes that the surfacesare such that the value of thecoefficient of friction is the samethroughout, and the result isconfirmed approximately by ex-periment. Expt. 31.—Friction of a cordcoiled round a post. The apparatusshown in Fig. 209 enables thetensions to be found for angles ofcontact differing by 90°. Weighthe scale-pans. Put equal loads ineach pan, then increase one loaduntil steady slipping occurs. Eval-uate T1 and T2, and repeat theexperiment with a different angleof contact. The following is arecord of an actual experiment, using a silk cord on a pine post. Fig. 209.—Apparatus for experiments on thefriction of a cord coiled on a drum. An Experiment on Slipping. Angle of lap. Tj lb. wt. descending. T„ lb. wt. ascending. Experimental rat inToTV Calculated ratioTi 90°180°270°360° 0-397 0-560-7911 0-290-290-290-29 0-730-5180-3670-263 0-73 0-533 0-39 0-28 The last c<T2Ti=0-73 fc0-73 x0-73=0360° is 0-73* =agreement, reithe co
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