Motion In A Plane

Question

A particle moves in the x-y plane according to rule x = a sin ωt and y = a cos ωt. The particle follows

an elliptical path

a circular path

a parabolic path

a straight line path inclined equally to x and y- axes

Solution

a circular path

straight x space equals space straight a space sin space ωt space rightwards double arrow space straight x over straight a space equals space sin space ωt straight x space equals space straight a space cos space ωt space rightwards double arrow space straight x over straight a squared space equals space cos space ωt therefore space straight x squared over straight a squared space plus straight y squared over straight b squared space equals space 1 or space straight x squared space plus space straight y squared space equals space straight a squared

This is the equation of a circle, so the particle follows a circular path.

Some More Questions From Motion in A Plane Chapter

Name a quantity which is both scalar as well as vector.

Which of the followings is/are vector quantities: work, power, acceleration, mass, momentum?

Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

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Motion In A Plane

A particle moves in the x-y plane according to rule x = a sin ωt and y = a cos ωt. The particle follows

an elliptical path

a circular path

a parabolic path

a straight line path inclined equally to x and y- axes

Some More Questions From Motion in A Plane Chapter

Name a quantity which is both scalar as well as vector.

Which of the followings is/are vector quantities: work, power, acceleration, mass, momentum?

Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

What are polar vectors?

Give two examples of polar vectors.

What are axial vectors?

Give two examples of axial vectors.

What are tensors?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Motion In A Plane

A particle moves in the x-y plane according to rule x = a sin ωt and y = a cos ωt. The particle follows an elliptical path a circular path a parabolic path a straight line path inclined equally to x and y- axes

Some More Questions From Motion in A Plane Chapter

Name a quantity which is both scalar as well as vector.

Which of the followings is/are vector quantities: work, power, acceleration, mass, momentum?

Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list: force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

What are polar vectors?

Give two examples of polar vectors.

What are axial vectors?

Give two examples of axial vectors.

What are tensors?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A particle moves in the x-y plane according to rule x = a sin ωt and y = a cos ωt. The particle follows

an elliptical path

a circular path

a parabolic path

a straight line path inclined equally to x and y- axes

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.