The displacement of a machine is expressed as x(t) = A sin(6t + Φ), where x is in meters and t is in seconds. If the displacement and the velocity of the machine at t = 0 are known to be 0.05 m and 0.005 m/s, determine by how much the response of the system leads the reference wave.

5. When driven by a 120 Hz vibrator, a string has transverse waves of 30 cm wave length traveling along it. What is the speed of the waves on the string and if the tension is 1.2 N, what is the mass of 50 cm of the string?

ENGINEERING • MECHANICAL-ENGINEERING A continuous signal *(t), is given by the following figure: Draw the following signs: no use chatgpt

y O, = 0, cos²0 + o, sin²0 + 2 Txy sin 0 cos 0 15.00 Tnt = -(0x - Oy) sin 0 cos 0 + txy( cos²0- sin?0) These equations may also be written as: Ox +Oy Ox- Oy On = cos 20 + Txy sin 20 2 + 12.00 2 130° Ox- Ov 10.00 Tnt = sin 20 + Txy cos 20 10.00 12.00 On Both the xyz and ntz coordinate systems are right-handed systems. 15.00 Tnt The z axis is directed toward the viewer. 1st 2nd 3rd Enter solved problems counter attempt 1