A chandelier is supported from the ceiling by 2 chains. Both chains make a 30° angle with the vertical. The tension in each chain is the same because of symmetry:T₁=T₂=50 N. What is the mass of the chandelier?

The two trees in Fig. 12–54 are 6.2 m apart. A backpacker is trying to lift his pack out of the reach of bears. Calculate the magnitude of the force $\overrightarrow{F}$ that he must exert downward to hold a 19-kg backpack so that the rope sags at its midpoint by 1.5 m.

<IMAGE>

Three forces are applied to a tree sapling, as shown in Fig. 12–49, to stabilize it. If ${\overrightarrow{F}}_A$ = 385 N and ${\overrightarrow{F}}_B$ = 515 N, find ${\overrightarrow{F}}_C$ in magnitude and direction.

The two trees in Fig. 12–54 are 6.2 m apart. A backpacker is trying to lift his pack out of the reach of bears. Calculate the magnitude of the force $\overrightarrow{F}$ that he must exert downward to hold a 19-kg backpack so that the rope sags at its midpoint by 0.15 m.

<IMAGE>

When a mass of 25 kg is hung from the middle of a fixed straight aluminum wire, the wire sags to make an angle of 12° with the horizontal as shown in Fig. 12–90. Determine the radius of the wire.

A sphere hangs suspended by a light string, resting against a vertical wall. The sphere has a mass of 2 kg and the string makes an 80° angle with the horizontal. What is the force from the wall against the ball?

Find the tension in each cord in Fig. E$5.7$ if the weight of the suspended object is $w$.

A large wrecking ball is held in place by two light steel cables (Fig. E$5.6$). If the mass m of the wrecking ball is $3620$ kg, what are the (a) tension $T_B$ in the cable that makes an angle of $40°$ with the vertical and (b) the tension $T_A$ in the horizontal cable?

A $1130$-kg car is held in place by a light cable on a very smooth (frictionless) ramp (Fig. E$5.8$). The cable makes an angle of $31.0°$ above the surface of the ramp, and the ramp itself rises at $25.0°$ above the horizontal. Find the tension in the cable.