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Directions: The question is based on the following paragraph.
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 a 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 distance L from the wall. The disk rolls without slipping with velocity . The coefficient of friction is μ.
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)
  • d)
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: The question is based on the following paragraph.A unifor...
For translational motion we have
For rotational motion we have
As the disc is rolling without slipping then
It is directed toward the equilibrium position or we can write as
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Directions: The question is based on the following paragraph.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 a 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 distance L from the wall. The disk rolls without slipping with velocity . The coefficient of friction is μ.The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position isa)–kxb)–2kxc)d)Correct answer is option 'D'. Can you explain this answer?
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Directions: The question is based on the following paragraph.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 a 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 distance L from the wall. The disk rolls without slipping with velocity . The coefficient of friction is μ.The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position isa)–kxb)–2kxc)d)Correct 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 Directions: The question is based on the following paragraph.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 a 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 distance L from the wall. The disk rolls without slipping with velocity . The coefficient of friction is μ.The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position isa)–kxb)–2kxc)d)Correct 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 Directions: The question is based on the following paragraph.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 a 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 distance L from the wall. The disk rolls without slipping with velocity . The coefficient of friction is μ.The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position isa)–kxb)–2kxc)d)Correct answer is option 'D'. Can you explain this answer?.
Solutions for Directions: The question is based on the following paragraph.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 a 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 distance L from the wall. The disk rolls without slipping with velocity . The coefficient of friction is μ.The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position isa)–kxb)–2kxc)d)Correct 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.
Here you can find the meaning of Directions: The question is based on the following paragraph.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 a 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 distance L from the wall. The disk rolls without slipping with velocity . The coefficient of friction is μ.The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position isa)–kxb)–2kxc)d)Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: The question is based on the following paragraph.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 a 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 distance L from the wall. The disk rolls without slipping with velocity . The coefficient of friction is μ.The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position isa)–kxb)–2kxc)d)Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Directions: The question is based on the following paragraph.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 a 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 distance L from the wall. The disk rolls without slipping with velocity . The coefficient of friction is μ.The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position isa)–kxb)–2kxc)d)Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions: The question is based on the following paragraph.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 a 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 distance L from the wall. The disk rolls without slipping with velocity . The coefficient of friction is μ.The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position isa)–kxb)–2kxc)d)Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: The question is based on the following paragraph.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 a 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 distance L from the wall. The disk rolls without slipping with velocity . The coefficient of friction is μ.The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position isa)–kxb)–2kxc)d)Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
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