Using the Taylor's Series formula, what is the fourth term in the Taylor Series expansion of f(x) = sin(x) about a = 0? A) -x³/6 B) -x⁴/24 C) x³/6 D) x⁴/24

A solid circular disk with radius R = 0.3 m and mass M = 5 kg is initially at rest. A constant torque of 15 N⋅m is applied to the disk for 4 seconds. If the disk rotates about its central axis perpendicular to its face, what is its final angular velocity in rad/s? A) 100 rad/s B) 133.3 rad/s C) 200 rad/s D) 266.7 rad/s

A uniform beam of length 12 ft and weight 300 lb is supported by a pin at A and a roller at B. A cable attached at point C (4 ft from A) runs over a smooth pulley at D and supports a 400 lb block as shown. If D is located 3 ft above and 5 ft to the right of C, what is the magnitude of the horizontal reaction force at pin A? A) 325 lb B) 340 lb C) 355 lb D) 370 lb