3. A 12 kg barrel is pulled up by a rope. The barrel accelerates at 1.2 m/s2. Find the force exerted by the rope. Show all your work.

Question

3.	A 12 kg barrel is pulled up by a rope. The barrel accelerates at 1.2 m/s2. Find the force exerted by the rope. Show all your work.

flexastexas · Answer

I am almost certain I should be using mass * acceleration. I have seen other people solve the problem and they got 12*11= 132 Where did they get 11 from>

flexastexas · Answer

?

korosh23 · Answer

Did it ask you for which component ? Like x or y?

korosh23 · Answer

maybe 11 m/s^2 is the acceleration of rope that pulls the barrel. Is it given to you?

flexastexas · Answer

nope

flexastexas · Answer

But it would be Y because the barrel is being pulled up

snowsurf · Answer

Since the problem says pulled up by rope this has to imply vertical motion. We need to find the T tension force.

Let's draw a free body diagram. |dw:1458620544335:dw|

Fg is the force due to gravity and T is the tension force from the rope.

Using Newton second law of motion we have 

$$T - F_g = ma$$

$$T - mg = ma$$

Fg = mg

Solve for T

$$T = m (a +g)$$

T = (12Kg)(1.2 + 9.8) m/s^2

T = 132 N