Note: a and g are magnitudes; the directions of a and g are shown in the figure

Question

Note: a and g are magnitudes; the directions of a and g are shown in the figure below (the acceleration is pointing down). Consider a force of 11mg pulling three blocks connected by inextensible strings (which can be considered massless) in the vertical direction, where the masses are a multiple of a given mass m.

a) Find the acceleration a of this system of blocks.

1. a =1/12g

2. a =1/4g
3. a =1/5g
4. a =13g
5. a = g
6. a =1/2g
7. a =1/7g
8. a =1/15g
9. a =1/10g

b) What is the equation of motion for the block with mass 4m?

1. T1 ? 4mg ? T2 = ?4ma
2. T1 + 4mg + T2 = ?4ma
3. T1 + 4mg + T2 + 6mg = ?4ma
4. T1 ? 4mg ? T2 ? 6mg = ?4ma
5. T1 + 4mg ? T2 = ?4ma
6. T1 ? 4mg + T2 ? 6mg = ?4ma
7. T1 + 4mg + T2 ? 6mg = ?4ma
8. T1 + 4mg ? T2 ? 6mg = ?4ma
9. T1 ? 4mg + T2 = ?4ma

10. T1 ? 4mg + T2 + 6mg = ?4ma

c) Find the tension T2 in the rope between the masses 4m and 2m in terms of the force F in the vertical direction.

1. T2 =1/7F

2. T2 =1/8F
3. T2 =1/9F
4. T2 =1/2F
5. T2 =1/6F
6. T2 =1/5F
7. T2 =1/3F
8. T2 =1/4F
9. T2 = F

Note: a and g are magnitudes; the directions of a and g are shown in the figure below (the acceleration is pointing down). Consider a force of 11mg pulling three blocks connected by inextensible strings (which can be considered massless) in the vertical direction, where the masses are a multiple of a given mass m. Find the acceleration a of this system of blocks. a =1/12g a =1/4g a =1/5g a =13g a = g a =1/2g a =1/7g a =1/15g a =1/10g What is the equation of motion for the block with mass 4m? T1 ? 4mg ? T2 = ?4ma T1 + 4mg + T2 = ?4ma T1 + 4mg + T2 + 6mg = ?4ma T1 ? 4mg ? T2 ? 6mg = ?4ma T1 + 4mg ? T2 = ?4ma T1 ? 4mg + T2 ? 6mg = ?4ma T1 + 4mg + T2 ? 6mg = ?4ma T1 + 4mg ? T2 ? 6mg = ?4ma T1 ? 4mg + T2 = ?4ma T1 ? 4mg + T2 + 6mg = ?4ma Find the tension T2 in the rope between the masses 4m and 2m in terms of the force F in the vertical direction. T2 =1/7F T2 =1/8F T2 =1/9F T2 =1/2F T2 =1/6F T2 =1/5F T2 =1/3F T2 =1/4F T2 = F

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