A wheel is free to rotate about a horizontal axis through O. A force of 200 ~N is applied at a point P 2 ~cm from the center O . OP makes an angle of 55^ with x axis and the force is in the plane of the wheel making an angle of 25^ with the horizontal axis. What is the torque?

Step-by-step solution

The torque is defined as = r F , where r is the position vector of the point of application P relative to the axis O, and F is the applied force. The magnitude of the torque is given by = r F , where is the angle between the position vector r and the force vector F . Given r = 2 cm = 0.02 m and F = 200 N . The position vector r makes an angle of 55^ with the x-axis. The force vector F makes an angle of 25^ with the horizontal (x-axis). The angle between r and F is the difference between their angles with the horizo