# 9.14 - problem 9.14 The box is stationary 0n the inclined...

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Unformatted text preview: problem 9.14 The box is stationary 0n the inclined surface. The coefﬁcient of static friction between the box and the surface is ,us. If the mass of the box is 10kg, 0! = 20°. ,8 = 30°, and ,u5 = 0.24, what force T is necessary to start the box sliding up the surface? Show that the force T necessary to start the box sliding up the surface is a minimum when 7“” tan ﬂ 2 ,us. ~— Teusﬂ+ f + mgsinu x: U N+ Tsinfl wingcnsa = 0 23013 f = H}. N Substituting the known values and solving, we gel {‘3 the 2nd equilibrium eqn for N and substituting l‘ur HIV) in the ﬁrst eqn. we get. J" f5 + #15ng ensar ~115Tsin ,6 + mg sinu' : D llialing with respect to ,6. we get Tisinﬂ w M cos {D M :(cusﬁ + .115 sin ti) till?" a“! = D. we get .Uti Educaliun. [nc_, Upper Saddle River. NJ. All rights reserved. This material is prnleeletl under all copyright 1 aws as they ." Portion of this material may he reprudueeti, in any form or by any means, without permission in writing from the publisher. 693 ...
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