Along a ramp, the gravitational component along the ramp is which expression?

Along a ramp, the gravitational component along the ramp is which expression?

• A. m g cos θ
• B. m g tan θ
• C. m g sin θ
• D. m g.

Answer: (C)

When an object sits on an incline, gravity pulls straight downward. To analyze motion along the ramp, resolve that force into two components: one parallel to the surface and one perpendicular to it. The angle between the downward gravity and the direction along the ramp is θ, so the component along the ramp has magnitude m g sin θ. The perpendicular component is m g cos θ. This setup matches what you observe: as the ramp gets steeper (larger θ), the pull along the ramp grows, and when θ is zero (a flat surface) the along-ramp component is zero. The full gravitational force m g is not the along-ramp component; it’s the total force. The cos term gives the perpendicular part, and tan would be the ratio of along-ramp to perpendicular components. Therefore, the along-ramp gravitational component is m g sin θ.

When an object sits on an incline, gravity pulls straight downward. To analyze motion along the ramp, resolve that force into two components: one parallel to the surface and one perpendicular to it. The angle between the downward gravity and the direction along the ramp is θ, so the component along the ramp has magnitude m g sin θ. The perpendicular component is m g cos θ. This setup matches what you observe: as the ramp gets steeper (larger θ), the pull along the ramp grows, and when θ is zero (a flat surface) the along-ramp component is zero. The full gravitational force m g is not the along-ramp component; it’s the total force. The cos term gives the perpendicular part, and tan would be the ratio of along-ramp to perpendicular components. Therefore, the along-ramp gravitational component is m g sin θ.