(II) Two cords support a chandelier in the manner shownin Fig. 9–4 except that the upper cord makes an angle of45° with the ceiling. If the cords can sustain a force of1660 N without breaking, what is the maximum chandelierweight that can be supported?

A uniform 40.0-kg scaffold of length 60 m is supported by tow light cables below. An 80.0 kg painter stands 1.0 m from the left end of the scaffold, and his painting equipment is 1.5 m from the right end. If the tension in the cable is twice that in the right cable, find the cables and mass of the equipment.

A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm above the bottom of the door. The center of mass of the door is at its geometric center, and the weight of the door is 260 N, which is supported equally by both hinges. Find the horizontal force exerted by each hinge on the door.

During a walk on a rope, a tightrope walker creates a tension of 3.94103N in a wire that are 15.0m apart. The wire has a diameter of 0.50cm when it is not stretched. When the walker is on the wire in the middle between the poles the wire makes an angle of 5.0 below the horizontal. How much does this tension stretch the steel wire when the walker is this position?

An aluminium (=2.7g/cm3) wire is suspended from the ceiling and hangs vertically. How long must the wire be before the stress at its upper end reaches the proportionality limit, which is 8.0107N/m2 ?

Note: Unless stated otherwise, the weights of the wires, rods, and other elements are assumed to be negligible. Elastic moduli of selected materials are given In Table 12.1 13.Why can a squirrel jump from a tree branch to the ground and run away undamaged, while a human could break a bone In such a fall?

To get up on the roof, a person (mass 70.0 kg) places a 6.00-m aluminum ladder (mass 10.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2 m from the bottom. The person is standing 3 m from the bottom. What are the magnitudes of the forces on the ladder at the top and bottom?

If there is only one external force (or toe) acting on object. It cannot be on equilibrium.

Show that, as explained in the text, a force F exerted on a flexible medium at its center and perpendicular to its length (such as on the tightrope wire in Figure 5.26) gives rise to a tension of magnitude T=F/2sin() .

Show that, as stated in the text, a force F exerted on a flexible medium at its center and perpendicular to its length (such as on the tightrope wire in Figure 4.17) gives rise to a tension of magnitude T=F2sin() .