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Worksheet: Resolution of a Force into Two Perpendicular Directions

Q1:

A force of magnitude 190 N acts at the origin making an angle of above the -axis. Find and , its components in the and directions.

  • A ,
  • B ,
  • C ,

Q2:

A force of magnitude 44 N acts at the origin making an angle of above the -axis. Find and , its components in the and directions.

  • A ,
  • B ,
  • C ,

Q3:

A force of magnitude 28 N acts at the origin making an angle of above the -axis. Find and , its components in the and directions.

  • A ,
  • B ,
  • C ,

Q4:

Resolve a force of 81 N into two perpendicular components and as shown in the figure. Give your answer correct to two decimal places.

  • A ,
  • B ,
  • C ,
  • D ,

Q5:

Resolve a force of 110 N into two perpendicular components and as shown in the figure. Give your answer correct to two decimal places.

  • A ,
  • B ,
  • C ,
  • D ,

Q6:

Resolve a force of 123 N into two perpendicular components and as shown in the figure. Give your answer correct to two decimal places.

  • A ,
  • B ,
  • C ,
  • D ,

Q7:

A body weighing 72 N is placed on a plane that is inclined at to the horizontal. Resolve its weight into two components and , where is the component in the direction of the plane and is the component normal to the plane.

  • A ,
  • B ,
  • C ,
  • D ,

Q8:

A body weighing 68 N is placed on a plane that is inclined at to the horizontal. Resolve its weight into two components and , where is the component in the direction of the plane and is the component normal to the plane.

  • A ,
  • B ,
  • C ,
  • D ,

Q9:

A body weighing 4 N is placed on a plane that is inclined at to the horizontal. Resolve its weight into two components and , where is the component in the direction of the plane and is the component normal to the plane.

  • A ,
  • B ,
  • C ,
  • D ,

Q10:

Resolve a force of magnitude 48 N acting northwest into two components, and , acting north and west respectively.

  • A ,
  • B ,
  • C ,
  • D ,
  • E ,

Q11:

Resolve a force of magnitude 52 N acting northwest into two components, and , acting north and west respectively.

  • A ,
  • B ,
  • C ,
  • D ,
  • E ,

Q12:

Resolve a force of magnitude 196 N acting northwest into two components, and , acting north and west respectively.

  • A ,
  • B ,
  • C ,
  • D ,
  • E ,

Q13:

A particle weighing 69 N is placed on a plane inclined at an angle to the horizontal, where . Resolve the weight of the particle into two components, and , where is parallel to a line of greatest slope and is perpendicular to .

  • A ,
  • B ,
  • C ,
  • D ,

Q14:

An object weighing 50 newtons rests on a ramp that is inclined to the horizontal. Find the magnitude of the components of the force parallel and perpendicular to the ramp, giving your answer correct to three decimal places if necessary.

  • A parallel: 52.881 newtons, perpendicular: 153.578 newtons
  • B parallel: 47.276 newtons, perpendicular: 16.278 newtons
  • C parallel: 153.578 newtons, perpendicular: 52.881 newtons
  • D parallel: 16.278 newtons, perpendicular: 47.276 newtons
  • E parallel: 50 newtons, perpendicular: 50 newtons