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A uniform thin cylindrical disk of mass M and radius R is attached to two identical massless springs of spring constant k which are fixed to the wall as shown in the figure. The springs are attached to the axle of the disk symmetrically on either side at a distance d from its centre. The axle is massless and both the springs and the axle are in horizontal plane.
The unstretched length of each spring is L. The disk is initially at its equilibrium position with its centre of mass (CM) at a distance L from the wall. The disk rolls without slipping T he coefficient of friction is µ.
Q.4. The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position is  
  • a)
    – kx
  • b)
    – 2kx
  • c)
    – 2kx/3
  • d)
    – 4kx/3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A uniform thin cylindrical disk of mass M and radius R is attached to ...
Wh en th e disc is at a      distance x from the mean position (equilibrium position), the forces acting on the disc are shown in the figure
∴ –2kx + f = –Mac                ...(1) where ac = acceleration of center
of mass. Also the torque acting on the disc about its center of mass C is
From (i) & (ii)
⇒ Net external force acting on the disc when its centre of mass is at displacement x with respect to the equilibrium position = 4kx/3
directed towards the equilibrium.
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A uniform thin cylindrical disk of mass M and radius R is attached to two identical massless springs of spring constant k which are fixed to the wall as shown in the figure. The springs are attachedto the axle of the disk symmetrically on either side at a distance d from its centre. The axle is massless and both the springs and the axle are in horizontal plane.The unstretched length of each spring is L. The disk is initially at its equilibrium position with its centre of mass (CM) at a distance L from the wall. The disk rolls without slippingT he coefficient of friction is µ.Q.4.The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position is a)– kxb)– 2kxc)– 2kx/3d)– 4kx/3Correct answer is option 'D'. Can you explain this answer?
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A uniform thin cylindrical disk of mass M and radius R is attached to two identical massless springs of spring constant k which are fixed to the wall as shown in the figure. The springs are attachedto the axle of the disk symmetrically on either side at a distance d from its centre. The axle is massless and both the springs and the axle are in horizontal plane.The unstretched length of each spring is L. The disk is initially at its equilibrium position with its centre of mass (CM) at a distance L from the wall. The disk rolls without slippingT he coefficient of friction is µ.Q.4.The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position is a)– kxb)– 2kxc)– 2kx/3d)– 4kx/3Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A uniform thin cylindrical disk of mass M and radius R is attached to two identical massless springs of spring constant k which are fixed to the wall as shown in the figure. The springs are attachedto the axle of the disk symmetrically on either side at a distance d from its centre. The axle is massless and both the springs and the axle are in horizontal plane.The unstretched length of each spring is L. The disk is initially at its equilibrium position with its centre of mass (CM) at a distance L from the wall. The disk rolls without slippingT he coefficient of friction is µ.Q.4.The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position is a)– kxb)– 2kxc)– 2kx/3d)– 4kx/3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform thin cylindrical disk of mass M and radius R is attached to two identical massless springs of spring constant k which are fixed to the wall as shown in the figure. The springs are attachedto the axle of the disk symmetrically on either side at a distance d from its centre. The axle is massless and both the springs and the axle are in horizontal plane.The unstretched length of each spring is L. The disk is initially at its equilibrium position with its centre of mass (CM) at a distance L from the wall. The disk rolls without slippingT he coefficient of friction is µ.Q.4.The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position is a)– kxb)– 2kxc)– 2kx/3d)– 4kx/3Correct answer is option 'D'. Can you explain this answer?.
Solutions for A uniform thin cylindrical disk of mass M and radius R is attached to two identical massless springs of spring constant k which are fixed to the wall as shown in the figure. The springs are attachedto the axle of the disk symmetrically on either side at a distance d from its centre. The axle is massless and both the springs and the axle are in horizontal plane.The unstretched length of each spring is L. The disk is initially at its equilibrium position with its centre of mass (CM) at a distance L from the wall. The disk rolls without slippingT he coefficient of friction is µ.Q.4.The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position is a)– kxb)– 2kxc)– 2kx/3d)– 4kx/3Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
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