A 1-N pendulum bob is held at an angle $\theta$from the vertical by a 2-N horizontal force F as shown. The tension in the string supporting the pendulum bob (in newtons) is:
A) cos $\theta$
B) 2/cos $\theta$
D) 1
E) none of these

Question

A 1-N pendulum bob is held at an angle $\theta$from the vertical by a 2-N horizontal force F as shown. The tension in the string supporting the pendulum bob (in newtons) is: 
A) cos $\theta$ 
B) 2/cos $\theta$ 
D) 1 
E) none of these

Quizplus · Accepted Answer

The tension in the string can be found using the equation T = mg cos(θ) + F cos(α), where m is the mass of the bob, g is the acceleration due to gravity, θ is the angle between the vertical and the string, F is the applied force, and α is the angle between the string and the horizontal. Plugging in the given values, we get T = (1 kg)(9.81 m/s^2) cos(70°) + (2 N) cos(10°) = 10.6 N, which is closest to choice C, 11 N.

A 1-N Pendulum Bob Is Held at an Angle θ\thetaθ From the Vertical by a 2-N Horizontal Force F as From the Vertical

A 1-N Pendulum Bob Is Held at an Angle $\theta$ From the Vertical by a 2-N Horizontal Force F as From the Vertical