The vertical motion of a mass attached to a spring is described by the initial value problem 1/4x’’+x’+x=0, x(0)=4, x’(0)=2 Find the equation of its motion

The period T of a pendulum is the time it takes to move from one side to the other and back. A formula for the period is T=2πL32 where T is in seconds and L is in feet. Use 3.14 for π.   Find the period of a pendulum of length 50 feet.

Two vectors are given by a = 9.01 + 8.0 and B b = 6.7î + 2.6ĵ. Find (a) a × b, (b) à · b, (c) a + b). b, and (d) the component of a along the direction of b? (a) Number i (b) Number (c) Number (d) Number i i i Units Units Units Units

Which of the following calculations have the correct number of significant figures in the final result? 2.2 ст + 2.00 ст — 4.20 ст O 12.34 g 3.94 cm³ 3.132 cm3 V 2.0 cm - 1 cm = 1 cm V 11.32 cm x 6.31 cm x 6.762 cm = 4.83 × 10² cm³ V 10.32 cm × 6.31 cm × 6.762 cm = 4.40 × 10² cm³ V 1.0 x 10'g 0.27 cm 37 cm