- Introduction
- |
- Static Friction
- |
- Kinetic Friction
- |
- Rolling Friction
- |
- Angle of Friction
- |
- Methods to Reduce Friction
- |
- Solved Examples

**Paragraph type (A)**

A particle of weight W moves under the action of a force

F = A cos ωt

where A and ω are constant at x = 0 and v = 0 at t = 0

**Question 1**

The velocity time relation is

**Question 2**

The displacement time equation

**Matrix Match type question**

**Question 3**

A pendulum of length l and mass m is supported from the ceiling of the elevator. Let T_{0} be the time period of oscillation when the elevator is still

**Column A**

(a) elevator is moving up with constant velocity

(b) elevator is moving down with constant velocity

(c) elevator is moving up with constant acceleration

(d) elevator is moving down with constant acceleration

**Column B**

(P) T = T_{0}

(Q) T > T_{0}

(R) T < T_{0}

(S) no appropriate match

**Matrix Match type question**

**Question 4**

Let

S_{1} = frame of reference at rest

S_{2} = frame of reference at constant velocity

S_{3} = frame of reference at constant acceleration

S_{4} = frame of reference at uniform circular motion

A block A is at rest as seen from frame of reference S_{1}

**Column A**

(a) S_{1}

(b) S_{2}

(c) S_{3}

(d) S_{4}

**Column B**

(P) ΣF ≠ 0

(Q) ΣF =0

(R) a = 0

(S) a ≠ 0

where ΣF is the resultant force and a is the acceleration of the body

**Matrix match type question**

**Question 5**

Consider the figures given below

**Column A**

(a) Acceleration of mass m_{2} in (A)

(b) Acceleration of mass m_{1} in (B)

(c) Acceleration of mass m_{2} in (C)

(d) Acceleration of mass m_{2} in (B)

**Column B**

(P) (m_{2}g)/(4m_{1} + m_{2})

(Q) (m_{2}g)/(m_{1} + m_{2})

(R) (2m_{2}g)/(4m_{1} + m_{2})

(S) (m_{2}g)/(2m_{1} + m_{2})

**Linked Comprehensive type (A)**

A,B, C are the objects as shown above in the figure. A, B, C are 2, 3 and 4 Kg respectively. Coefficient of friction between the blocks are given above in the figure

Let f1 be frictional force between A & B

f2 be frictional force between B & C

f3 be frictional force between C & surface

Let a1, a2, a3 be the acceleration of A ,B and C respectively

**Question 6**

Which one of the following is true

a) 0≤ f_{1} ≤ 14, 0≤ f_{2} ≤ 10, 0≤ f_{3} ≤ 9

b) 0≤ f_{1} ≤ 14, 0≤ f_{2} ≤ 6, 0≤ f_{3} ≤ 4

c) 0≤ f_{1} ≤ 14, 0≤ f_{2} ≤ 4, 0≤ f_{3} ≤ 6

d) 0≤ f_{1} ≤ 14, 0≤ f_{2} ≤ 10, 0≤ f_{3} ≤ 6

**Question 7**

What is the minimum force F to have so that all part moves with non zero acceleration

(a) 9N

(b) 10N

(c) 14N

(d) 11N

**Question 8**

If F = 12 N, which of the following is true

(a) f1 = 11.2, f2 = 10, f3 = 9

a1= a2 = a3 = 0.4 m/s2

(b) f1 = 11.2, f2= 10, f3 = 9

a1 = a2 = 0.25 m/s2, a3 = 0.4 m/s2

(c) f1 = 11, f2 = 10, f3 = 0

a1 = a2 = a3= 0.45 m/s2

(d) none of the above

**Question 9**

what is the minimum force required to have relative motion between B & C object

(a) 11.5

(b) 10

(c) 11.25

(d) none of the above

**Question 10**

what is the minimum force required to have relative motion between A & B object

(a) 17.5

(b) 16.6

(c) 14

(d) none of the above

**Question 11**

for F = 15 N

(a) there will be relative motion between A & B

(b) there will be relative motion between B & C

(c) there will be relative motion between C & surface

(d) none of the above

**Linked Comprehensive type (B)**

The pulley is assumed as mass less and friction free.

**Question 12**

Find the acceleration of the block assuming no friction is present

(a) F/2m

(b) F/m

(c) 2F/m

(d) none of the above

**Question 13**

If friction force F/4 exist between the block and surface

(a) F/m

(b) F/m

(c) F/4m

(d) none of the above

**Linked Comprehensive type (C)**

A particle of charge Q and mass M with an initial velocity v0i enter an electric field

**E**=-E**j**

**Question 14**

What force act in x and y direction

(a) F_{x} = 0, F_{y} = -QE **j**

(b) F_{x} = 0, F_{y} = QE **j**

(c) F_{x} = qE **i**, F_{y} = 0

(d) F_{x} = -qE **i**, F_{y} = 0

**Question 15**

Velocity at time t is given by

(a) (v_{0} + qE/M)**i**

(b) v_{0} **i** + (qEt/M) **j**

(c) v_{0}**i** – (qEt/M) **j**

(d) none of the above

**Question 16**

Let us assume that particle is at origin at t = 0, find the position vector at t = at time t

(a) v_{0}t **i** – (qEt^{2}/2M) **j**

(b) v_{0}t **i** + (qEt^{2}/2M) **j**

(c) (v_{0}t + qEt^{2}/2M)**i**

(d) none of the above

**Link Type comprehension (D)**

A block of Mass M rests on smooth horizontal surface over which it can move without friction. A body of mass m lies on the block. The coefficient of friction between body and block is K. The force F acts in horizontal direction on the block

Q**uestion 17**

For what values of F, both the bodies will move together without any relative motion

a) 0 ≤ F ≤ kMg

b) 0 ≤ F ≤ kmg

c) 0 ≤ F ≤ k(M+m)g

d) None of these

**Question 18**

When the Force F is sufficient to have relative motion between the block and body, what will the acceleration of block and body?

**Question 19**

Find the time in which body will fall from the block when relative motion is present. Assume L is the length of the block

**Question 20**

A spring balance is attached to the roof of the car and a mass m is hanging from it. When the car is standing on the horizontal road, the balance correctly tells us the weight of the mass. The car is travelling with a constant horizontal velocity v on the undulating path defined by the function

where y is the height above road surface.

Find the weight of the mass in spring balance as function of time t. We can assume that while going up on the undulating surface, the car floor remains almost horizontal

**Answers**

- (b)
- (b)
- (a) → (P);(b) → (P);(c) → (R);(d) → (Q)
- (a) → (Q), (R) ; (b) → (Q), (R) ; (c) → (P), (S) ; (d) → (P), (S)
- (a) → (Q) ; (b) → (P) ; (c) → (P) ; (d) → (R)
- (a)
- (a)
- (b)
- (c)
- (b)
- (c), (b)
- (a)
- (c)
- (a)
- (c)
- (a)
- (c)
- (a)
- (d)
- (d)

Go Back to Class 11 Maths Home page Go Back to Class 11 Physics Home page

- Principles of Physics Extended (International Student Version) (WSE)
- university physics with modern physics by Hugh D. Young 13th edition
- NCERT Exemplar Problems: Solutions Physics Class 11
- H.C. Verma Concepts of Physics - Vol. 1
- CBSE All in One Physics Class 11 by Arihant
- NCERT Solutions: Physics Class 11th
- New Simplified Physics: A Reference Book for Class 11 (Set of 2 Parts)
- Pradeep's A Text Book of Physics with Value Based Questions - Class XI (Set of 2 Volumes)
- Oswaal CBSE Sample Question Papers For Class 11 Physics (For 2016 Exams)