A child is at a point in her swing when the chain makes an angle of 60∘ with the upright. The tension in the chain is 480 N. Determine the horizontal and vertical components of the tension in the cable (acting on the child).
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A child is at a point in her swing when the chain makes an angle of with the upright. The tension in the chain is . Determine the horizontal and vertical components of the tension in the cable (acting on the child).
![A uniform meter-stick of mass M = 10 kg is hanging with the support of a hinge A and a cable at an angle θ = 45∘ as shown in the figure below. If the block of mass m = 8 kg moves beyond x = 0.73 m from hinge A, the cable breaks. Find the maximum tension T the cable can withstand. [5 Pts]With the block placed at x = 0.5 m, what are the horizontal and vertical components of the force on the bar from hinge A ? [10 Pts] Suppose the block of mass m is now at x = 0.74 m and the cable breaks, what is the angular acceleration of the system right after the cable breaks (You can assume that the block is a point mass)? [5 Pts]](https://www.doubtrix.com/uploads/editor/0757302795irIJrPKLHL.png)
![A child is on a swing. An adult tied a rope to the seat of the swing and pulled the swing forward. That rope is now horizontal, and the ropes attached to the swing structure make an angle θ with the vertical, as shown. (Note: There are two ropes tied to the chair that go to the top of the swing structure, one on each side of the child. We just see one in the in the image since we are looking at a side view. ) The child has a mass m. The adult uses the rope to hold the child at rest. What is the tension in the horizontal rope, and what are the tensions in each of the ropes connecting the seat to the top of the swing structure? [Use the following values. θ = 50.0∘, m = 25.0 kg ]](https://www.doubtrix.com/uploads/editor/8983639982scsdsdkvvh.png)
