A Wheel of radius R and mass M is placed at the bottom of fixed step of a fixed step of height R as shown in the figure. A constant force is continuously applied on the surface of the wheel so that it just climbs the step without slipping. Consider the torque τ about an axis normal to the plane of the paper passing through the point Q. Which of the following options is/are correct?
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
If the force is applied normal to the circumference at point P then τ is zero
b
If the force is applied tangentially at point S then τ≠0 but the wheel never climbs the step
c
If the force is applied at point P tangentially then τ decreases continuously as the wheel climbs
d
If the force is applied normal to the circumference at point X then τ is constant
answer is A.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
(A) → net torque, when F acts at P is zero, as it intersects axis of rotation. (B) → If the force is applied tangentially at point S then τ≠0 and the wheel climbs the step. (C) →If the force is applied at the point P tangentially then τ remains constant. (D) →If the force is applied normal to the circumference at point X then the length of perpendicular from Q on the line of force remains constant as the wheel just climbs up, so torque remains constant.
A Wheel of radius R and mass M is placed at the bottom of fixed step of a fixed step of height R as shown in the figure. A constant force is continuously applied on the surface of the wheel so that it just climbs the step without slipping. Consider the torque τ about an axis normal to the plane of the paper passing through the point Q. Which of the following options is/are correct?