Here we will provide you the 50+ MCQ Questions of System of Particles and Rotational Motion for NEET-UG. System of Particles and Rotational Motion is the chapter 7 in Class XI or Class 11 Physics NCERT Unit System of Particles and Rotational Motion NEET (conducted by NTA) is based on the NCERT book.
These 50+ MCQ questions are selected by the experts of studyrate.in and these are more difficult questions, which will help you to better understand System of Particles and Rotational Motion NEET MCQ Questions with Answers.
System of Particles and Rotational Motion NEET MCQ
A uniform rod of length L and mass M is pivoted at its center. A force F is applied perpendicular to the rod at a distance L/4 from one end. The angular acceleration of the rod is:
a) 3F/4ML
b) F/2ML
c) F/4ML
d) F/8ML
Two particles of masses m1 and m2 are connected by a light inextensible string of length L. The system rotates about the center of the string with angular velocity ω. If the tension in the string is T, the value of T is:
a) m1m2ω^2L/(m1+m2)
b) (m1+m2)ω^2L/m1m2
c) m1m2ω^2L/(m1-m2)
d) (m1-m2)ω^2L/m1m2
A thin uniform circular disc of radius R and mass M is rotating about its axis with angular velocity ω. A small mass m is attached to the rim of the disc. The moment of inertia of the disc about its axis is I. The angular velocity of the disc after the mass m falls off is:
a) ω(R^2+2MR/m)/(R^2+2MR/M)
b) ω(R^2+2MR/m)/(R^2+2MR)
c) ω(R^2-2MR/m)/(R^2+2MR)
d) ω(R^2-2MR/m)/(R^2+2MR/M)
A uniform disc of radius R and mass M is rolling without slipping on a horizontal surface. A particle of mass m is stuck on the rim of the disc. The velocity of the center of mass of the system is V. The angular velocity of the disc after the particle sticks to it is:
a) 2V/R
b) V/2R
c) V/R
d) 3V/2R
Two identical uniform circular discs, each of mass M and radius R, are rigidly fixed to each other such that their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the center of one disc and perpendicular to its plane is:
a) 3/2MR^2
b) 2MR^2
c) 5/2MR^2
d) 3MR^2
A uniform rod of length L and mass M is pivoted at one end. A force F is applied perpendicular to the rod at a distance L/4 from the pivot. The work done by the force F in rotating the rod through an angle of 60 degrees is:
a) 3FL/8
b) 3FL/4
c) 3FL/2
d) 3FL
A system consists of two particles of mass m1 and m2, where m2 > m1. The particles are connected by a light inextensible string of length L, and the system is rotating about a fixed axis passing through the center of mass of the system with angular velocity ω. If the tension in the string is T, then:
a) T = (m1ω^2L)/(m2 – m1)
b) T = (m2ω^2L)/(m2 – m1)
c) T = (m1ω^2L)/(m2 + m1)
d) T = (m2ω^2L)/(m2 + m1)
A uniform thin rod of length L and mass M is suspended vertically from one end. A small mass m is attached to the other end of the rod. The system is set into oscillation about the vertical axis passing through the suspended end. The time period of the oscillation is:
a) 2π√(L/g)
b) 2π√(3L/g)
c) 2π√(4L/3g)
d) 2π√(2L/g)
A uniform solid sphere of radius R and mass M is placed on a rough horizontal surface. A force F is applied horizontally at a point on the sphere such that the line of action of the force passes through the center of mass of the sphere. If the coefficient of static friction between the sphere and the surface is μ, then the minimum value of F required to start the sphere rolling without slipping is:
a) (5/7)μgM
b) (7/5)μgM
c) (2/7)μgM
d) (7/2)μgM
A uniform thin rod of length L and mass M is placed on a rough horizontal surface. The coefficient of static friction between the rod and the surface is μ. The maximum force that can be applied horizontally at one end of the rod to prevent it from slipping is:
a) μMg/2
b) μMg/3
c) μMg/4
d) μMg/5
A uniform circular disc of radius R and mass M is rotating about its axis with angular velocity ω. A small mass m is attached to the rim of the disc. The moment of inertia of the disc about an axis passing through its center of mass and perpendicular to its plane is I. The angular velocity of the disc after the mass m falls off is:
a) ω(R^2 + MR/m)/(R^2 + 2MR/M)
b) ω(R^2 – MR/m)/(R^2 + 2MR/M)
c) ω(R^2 + MR/m)/(R^2 – 2MR/M)
d) ω(R^2 – MR/m)/(R^2 – 2MR/M)
A uniform solid sphere of radius R and mass M is rolling without slipping on a horizontal surface. A constant force F is applied on the sphere tangent to the surface at a point on the equator of the sphere. The acceleration of the center of mass of the sphere is:
a) (5/7)(F/M)
b) (2/5)(F/M)
c) (7/5)(F/M)
d) (5/2)(F/M)
Two uniform thin rods of length L and mass M are joined to form a right angle. The system is pivoted at the common end. The moment of inertia of the system about an axis perpendicular to the plane of the rods and passing through the common end is:
a) ML^2/3
b) 2ML^2/3
c) 3ML^2/4
d) 4ML^2/3
A uniform solid sphere of radius R and mass M is placed on a rough inclined plane. The angle of inclination of the plane with the horizontal is θ. If the coefficient of static friction between the sphere and the plane is μ, then the minimum value of θ required to start the sphere rolling without slipping is:
a) sin^-1(μ)
b) sin^-1(3μ/5)
c) sin^-1(2μ/5)
d) sin^-1(5μ/7)
A uniform rod of length L and mass M is pivoted at one end. A small mass m is attached to the other end of the rod. The system is set into oscillation about the pivot point. The time period of oscillation is:
a) 2π√(L/2g)
b) 2π√(L/g)
c) 2π√(3L/2g)
d) 2π√(2L/g)
A uniform thin rod of length L and mass M is placed on a rough horizontal surface. A small mass m is attached to one end of the rod. The system is set into oscillation about the center of mass of the rod. The time period of oscillation is:
a) 2π√(2L/3g)
b) 2π√(L/g)
c) 2π√(3L/4g)
d) 2π√(4L/3g)
Two uniform thin rods of length L and mass M are joined to form a right angle. The system is pivoted at the common end. A small mass m is attached to the end of one of the rods. The system is set into oscillation about the pivot point. The time period of oscillation is:
a) 2π√(L/g)
b) 2π√(3L/g)
c) 2π√(4L/3g)
d) 2π√(2L/g)
A uniform thin rod of length L and mass M is suspended from a fixed point P by a string of length L/2 attached to the midpoint of the rod. The rod is set into oscillation in a horizontal plane about the point P. The time period of oscillation is:
a) 2π√(L/2g)
b) 2π√(L/g)
c) 2π√(3L/4g)
d) 2π√(2L/g)
A uniform solid sphere of radius R and mass M is placed on a smooth horizontal surface. A small force is applied on the sphere tangent to the surface at a point on the equator of the sphere. The sphere starts rolling without slipping. The angular acceleration of the sphere is:
a) 5g/(7R)
b) 7g/(5R)
c) 2g/R
d) 5g/(2R)
Two uniform thin rods of length L and mass M are joined to form a right angle. The system is pivoted at the common end. A small mass m is attached to the end of one of the rods. The system is set into oscillation about the pivot point. The amplitude of oscillation is θ. The maximum tension in the string is:
a) mg
b) mg(1+sinθ)
c) mg(1+cosθ)
d) mg(1+sinθ+cosθ)
A uniform thin rod of length L and mass M is pivoted at one end. A small mass m is attached to the other end of the rod. The system is set into oscillation about the pivot point. The amplitude of oscillation is θ. The maximum tension in the string is:
a) mg
b) mg(1+sinθ)
c) mg(1+cosθ)
d) mg(1+sinθ+cosθ)
A uniform thin rod of length L and mass M is pivoted at its center. Two small masses m1 and m2 are attached to the rod at distances L/4 and 3L/4 from the pivot point, respectively. The system is set into oscillation about the pivot point. The time period of oscillation is:
a) 2π√(L/2g)
b) 2π√(3L/4g)
c) 2π√(L/g)
d) 2π√(5L/4g)
A uniform solid sphere of radius R and mass M is placed on a rough horizontal surface. A force F is applied horizontally at a point on the equator of the sphere such that the sphere starts rolling without slipping. The coefficient of kinetic friction between the sphere and the surface is μ. The acceleration of the center of mass of the sphere is:
a) (2/7)(F/M)
b) (5/14)(F/M)
c) (7/10)(F/M)
d) (10/7)(F/M)
A uniform thin ring of mass M and radius R is placed on a smooth horizontal surface. A small force is applied tangentially to the ring. The force causes the ring to roll without slipping. The acceleration of the center of mass of the ring is:
a) 5/7(g)
b) 7/5(g)
c) 2(g/R)
d) 5/2(g/R)
A uniform rod of length L and mass M is pivoted at one end. A small mass m is attached to the other end of the rod. The system is set into oscillation about the pivot point. The time period of oscillation is:
a) 2π√(L/2g)
b) 2π√(L/g)
c) 2π√(3L/4g)
d) 2π√(2L/g)
A uniform thin rod of length L and mass M is pivoted at one end. A small mass m is attached to the other end of the rod. The system is set into oscillation about the pivot point. The time period of oscillation is:
a) 2π√(L/2g)
b) 2π√(L/g)
c) 2π√(3L/4g)
d) 2π√(2L/g)
A uniform thin rod of length L and mass M is pivoted at its center. Two small masses m1 and m2 are attached to the rod at distances L/4 and 3L/4 from the pivot point, respectively. The system is set into oscillation about the pivot point. The time period of oscillation is:
a) 2π√(L/2g)
b) 2π√(3L/4g)
c) 2π√(L/g)
d) 2π√(5L/4g)
A uniform thin rod of length L and mass M is pivoted at its center. Two small masses m1 and m2 are attached to the rod at distances L/4 and 3L/4 from the pivot point, respectively. The system is set into oscillation about the pivot point. The amplitude of oscillation is θ. The maximum tension in the string is:
a) mg
b) mg(1+sinθ)
c) mg(1+cosθ)
d) mg(1+sinθ+cosθ)
A uniform thin rod of length L and mass M is pivoted at one end. A small mass m is attached to the other end of the rod. The system is set into oscillation about the pivot point. The amplitude of oscillation is θ. The maximum tension in the string is:
a) mg
b) mg(1+sinθ)
c) mg(1+cosθ)
d) mg(1+sinθ+cosθ)
We hope there NEET MCQ of Class 11 System of Particles and Rotational Motion will help you to score an excellent rank in NEET-UG. If you have any queries feel free to write in the comments section. We at Study Rate are always ready to serve our students.
