Three cables AB, AC, and AD are supporting a 70-m tall tower. The magnitude of force in each cable is 2 kN. Find the total force the cables exert on the tower (magnitude and direction angle).

Explanation:

The coordinates of points are:

A (0, 70, 0), B (40, 0, 0), C (40, 0, 40) D (60, 0, 60).

The position vectors for corresponding cables are:

the unit vectors for these positions are:

The factors are:

so The resultant force exerted on tower by cables are:

as a general rule, scissors have blades less than 6 in (15 cm) long and usually have handles with finger holes of the same size. shears have blades scissors used to cut hair or fabric must be much sharper.

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: