A 1147 N uniform boom of length is supported by a cable, as shown.

Please help me with this 3 part question:

Q1:

A 1147 N uniform boom of length ℓ is supported by a cable, as shown. The boom is pivoted at the bottom, the cable is attached a distance 3 4 ℓ from the pivot, and a 4129 N weight hangs from the boom's top. Find the force FT applied by the supporting cable.

Answer Choices:

1. 2955.51

2. 2794.29

3. 2462.39

4. 2046.88

5. 3135.0

6. 1484.78

7. 2118.16

8. 2092.15

9. 1276.91

10. 3658.99

Answer in units of N.

Q2:

Find the horizontal component of the reaction force on the bottom of the boom.

Answer Choices:

1. 1792.94

2. 1835.82

3. 2460.04

4. 970.438

5. 2714.99

6. 2626.79

7. 2430.15

8. 2593.87

9. 1252.63

10. 1739.68

Answer in units of N.

Q3:

Find the vertical component of the reaction force on the bottom of the boom.

Answer Choices:

1. 3708.5

2. 2112.39

3. 2901.61

4. 3527.72

5. 3860.12

6. 3976.95

7. 3912.36

8. 5026.24

9. 4473.41

10. 3216.5

Answer in units of N.