A pendulum bob of mass 50g hangs in a steady state by athread from the roof of a car as it accelerates horizontally.the angle between the thread and the vertical is 10 degrees.

Find the acceleration of the car.

Thread tension. = T

T sin10 = M*a
T cos10 = M*g
Divide the first equation by the second to eliminate T and M.
tan10 = a/g
Solve for a.
g= 9.8 m/s^2
a = 1.73 m/s^2