Suppose you the a ball of mass 0.12 kg to a massless string of length 0.80 m and

Question

Suppose you the a ball of mass 0.12 kg to a massless string of length 0.80 m and form a pendulum. You swing this pendulum in a way that the maximum angle it makes with the vertical is 45 degree. Answer the following ignoring air resistance. What is the tension in the string when the pendulum swings past the vertical (i.e. when the pendulum becomes vertical while swinging)? This question will be shown after you complete previous question(s). This question will be shown after you complete previous question(s).

Explanation / Answer

initial potential energy U = m*g*L*(1-cso45)

at the bottom the ball has only KE = (1/2)*m*v^2

KE = PE

v = sqrt(2*g*L*(1-cos45)) = sqrt(2*9.8*0.8*(1-cos45)) = 2.14 m/s

along vertical

T - Mg = Fc

T = mg + Fc

T = mg + mv^2/L

T = (0.12*9.81) + (0.12*2.14^2/0.8)

T = 1.864 N <<<----------answer

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