Calculation Question Two blocks are connected by a massless rope that passes ove

Question

Calculation Question Two blocks are connected by a massless rope that passes over a frictionless pulley. The mass of the block on the left is 10kg, and it rests on a plane making an angle of 40 degrees with respect to the horizontal. The block on the right is placed on a slope making an angle of 30 degrees with respect to the horizontal. 2, a) What is the mass of the right side block if the system accelerates to the right at 1 m/s^2? b) if the mass of the right side block is 5 kg, find the acceleration of the system. c) Calculate the tension fin the rope under the conditions of part a and b.

Explanation / Answer

a)Let the mass be m.

Balancing forces,

m*9.81*Sin30-10*9.81*Sin40=(m+10)*1

m=18.71kg

b)a=(10*9.81*Sin40-5*9.81*Sin30)/(10+5)=2.57m/s^2

c)For part a,

T-10*9.81Sin40=10*1

T=73N

For part B,

T-5*9.81*Sin30=5*2.57

T=37.4N

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