Question: A circular object is pushed into a v-shaped slot by a force F as shown in the figure below. The weight of the object

A circular object is pushed into a v-shaped slot by a force

A circular object is pushed into a v-shaped slot by a force F as shown in the figure below. The weight of the object is negligible compared to the external force. The v-shaped slot consists of two frictionless surfaces at angles a = 57.3 and = 51.5 to the x-axis as shown in the figure. Two force sensors (green in figure) are used to measure the compressive force on the walls. The sensors at A and B measure a compressive force of magnitudes 275.4 N and 430 N, respectively. I I I I I B F B NOTE: The figure is not to scale, all geometry including the direction of F may not be representative of the numbers given in the problem. Calculate the component of the force in the y - direction. Give your answer in Newtons, type only numbers (no units) into the answer box.

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