Homeworkit 3: 1. The double inclined plane supports two blocks A and B, each hav

Question

Homeworkit 3: 1. The double inclined plane supports two blocks A and B, each having a weight of ION. Ifthe coefficient ofkinetics friction between the blocks and the plane is 0.1, determine the acceleration of each block. 2. Block B has a mass m and is released from rest when it is on top of cart A, which has a mass of 3m. Determine the tension in cord CD needed to the from moving, while B is sliding down A. The coefficient of kinetic friction between A 3. The pendulum bob B has mass m and is released from rest when e- 0. Determine the tension in string BC immediately afterward, and also at the instant the bob reaches the arbitrary position 0.

Explanation / Answer

Fa = Fb = 10 N
uk = 0.1
Let the tension in the string be T.
Let the acceleration be a.
Fa*sin(60) - uk*Fa*cos(60) - T = Fa/g * a
10 * sin(60) - 0.1 * 10 * cos(60) - T = 10/9.8 * a -------1

T - Fb*sin(30) - uk*Fb*cos(30) = Fb/g * a
T - 10*sin(30) - 0.1*10*cos(30) = 10/9.8 * a --------2

Solving the two eq,
a = 1.12 m/s^2
Acceleration of each block, a = 1.12 m/s^2

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