Question

a marble of mass m1 = 567.1kg and a granite block of mass m2 = 266.4kg are connected to each other by a rope that passes through a pulley, as shown in the figure. both blocks are on inclined planes, whose angles are a = 39.3º and B = 53.2º. both blocks move without friction and the rope slides on the pulley without friction. What is the acceleration of the marble block? Note that the positive x direction is indicated in the figure.

Till mu

Answer 1

Giver, a marble of mass m, = 567. 1 kg and granite block of mass m₂ = 266.4 kg are connected by a rop. as shown in fig. TI Given friction is not present any where x = 39.3" ; B=53. 2° Let a be the acceleration of marble down the incline. Since length of rope is constant, acceleration of granite black will be up the incline. Let, I be the tension in the rope FBD of marble mgsina nygoosoo Newton's law along the incline Fama & masing-T = ma

FBD of granite m₂gsing M₂ g Newton's law along the incline, F = my a T - Magsing=ma - 1 ① + we get masina – mag sing = (M + Mala a = mgsina - magsinß mi + m₂ (567.1 x sin 39.3 - 2664 xsin 53:29x9.8 567.1 + 2 66.4. = +1.72 ms. ms2.. T : Acceleration of marble will be 1.72 msz down the incline.