$1.$ A student applies a force $200$ nat an angle of $330(-30)$ below the horizontal to a $50$ kg desk, which causes the desk to move across the room at a constant speed.

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a$)$ Draw and label an appropriate force vector diagram for the desk. $(4$ pts$)$

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b$)$ What is the weight of the desk? $(3$ pts$)$

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c$)$ What is the magnitude $200$ N of the normal force acting on the desk? $(4$ pts$)$

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d$)$ What is the magnitude of the friction force acting on the desk? $(3$ pts$)$