Blocks connected with strings

 Two blocks, A and B, with masses of 3 kg and 5 kg respectively, are

connected by a light string and placed on a horizontal frictionless surface.
A force of 20 N is applied to block A. Find the acceleration of the system
and the tension in the string.
 Two blocks, A and B, with masses of 2 kg and 3 kg respectively, are
connected by a light string over a frictionless pulley. Block A hangs on one
side while block B hangs on the other side. Find the acceleration of the
system and the tension in the string.

Static friction problem set

Problem Set 1: Maximum Static Friction

1. Problem 1:
o A block with a mass of 8 kg is resting on a horizontal surface. The
coefficient of static friction between the block and the surface is
0.5. What is the maximum force that can be applied horizontally to
the block without causing it to move?
2. Problem 2:
o A block with a mass of 3 kg is resting on a horizontal surface. The
coefficient of static friction between the block and the surface is
0.6. What is the maximum force that can be applied horizontally to
the block without causing it to move?
3. Problem 3:
o A block with a mass of 10 kg is resting on a horizontal surface. The
coefficient of static friction between the block and the surface is
0.35. What is the maximum force that can be applied horizontally to
the block without causing it to move?
4. Problem 4:
o A block with a mass of 2 kg is resting on a horizontal surface. The
coefficient of static friction between the block and the surface is
0.45. What is the maximum force that can be applied horizontally to
the block without causing it to move?
5. Problem 5:
o A block with a mass of 7 kg is resting on a horizontal surface. The
coefficient of static friction between the block and the surface is
0.25. What is the maximum force that can be applied horizontally to
the block without causing it to move?
Problem Set 2: Angle of Incline
1. Problem 1:
 o A block is placed on an inclined plane. The coefficient of static
friction between the block and the plane is 0.4. At what angle of
incline will the block just start to slide?
2. Problem 2:
o A block is placed on an inclined plane. The coefficient of static
friction between the block and the plane is 0.6. At what angle of
incline will the block just start to slide?
3. Problem 3:
o A block is placed on an inclined plane. The coefficient of static
friction between the block and the plane is 0.7. At what angle of
incline will the block just start to slide?
4. Problem 4:
o A block is placed on an inclined plane. The coefficient of static
friction between the block and the plane is 0.3. At what angle of
incline will the block just start to slide?
5. Problem 5:
o A block is placed on an inclined plane. The coefficient of static
friction between the block and the plane is 0.55. At what angle of
incline will the block just start to slide?
Problem Set 3: Static Friction on a Horizontal Surface
1. Problem 1:
o A 12 kg box is at rest on a horizontal surface. The coefficient of
static friction between the box and the surface is 0.35. A horizontal
force is gradually applied to the box. Determine the force required
to initiate the motion of the box.
2. Problem 2:
o A 6 kg box is at rest on a horizontal surface. The coefficient of static
friction between the box and the surface is 0.45. A horizontal force
is gradually applied to the box. Determine the force required to
initiate the motion of the box.
3. Problem 3:
o A 8 kg box is at rest on a horizontal surface. The coefficient of static
friction between the box and the surface is 0.25. A horizontal force
is gradually applied to the box. Determine the force required to
initiate the motion of the box.
4. Problem 4:
o A 5 kg box is at rest on a horizontal surface. The coefficient of static
friction between the box and the surface is 0.5. A horizontal force is
gradually applied to the box. Determine the force required to initiate
the motion of the box.
 5. Problem 5:
o A 15 kg box is at rest on a horizontal surface. The coefficient of
static friction between the box and the surface is 0.4. A horizontal
force is gradually applied to the box. Determine the force required
to initiate the motion of the box.
Problem Set 4: Static Friction and Normal Force
1. Problem 1:
o A 20 kg block is resting on a flat surface. A horizontal force of 50 N
is applied to the block, but it does not move. If the coefficient of
static friction is 0.5, what is the normal force exerted by the surface
on the block?
2. Problem 2:
o A 25 kg block is resting on a flat surface. A horizontal force of 60 N
is applied to the block, but it does not move. If the coefficient of
static friction is 0.6, what is the normal force exerted by the surface
on the block?
3. Problem 3:
o A 30 kg block is resting on a flat surface. A horizontal force of 100 N
is applied to the block, but it does not move. If the coefficient of
static friction is 0.4, what is the normal force exerted by the surface
on the block?
4. Problem 4:
o A 10 kg block is resting on a flat surface. A horizontal force of 30 N
is applied to the block, but it does not move. If the coefficient of
static friction is 0.5, what is the normal force exerted by the surface
on the block?
5. Problem 5:
o A 12 kg block is resting on a flat surface. A horizontal force of 40 N
is applied to the block, but it does not move. If the coefficient of
static friction is 0.35, what is the normal force exerted by the
surface on the block?
Problem Set 5: Two Blocks and Static Friction
1. Problem 1:
o Two blocks, A and B, are stacked on top of each other. Block A has a
mass of 3 kg, and Block B has a mass of 4 kg. The coefficient of
static friction between the two blocks is 0.5, and the coefficient of
static friction between Block B and the horizontal surface is 0.4.
What is the maximum horizontal force that can be applied to Block
B without causing Block A to slide on Block B?
2. Problem 2:
 o Two blocks, A and B, are stacked on top of each other. Block A has a
mass of 4 kg, and Block B has a mass of 5 kg. The coefficient of
static friction between the two blocks is 0.6, and the coefficient of
static friction between Block B and the horizontal surface is 0.5.
What is the maximum horizontal force that can be applied to Block
B without causing Block A to slide on Block B?
3. Problem 3:
o Two blocks, A and B, are stacked on top of each other. Block A has a
mass of 1 kg, and Block B has a mass of 2 kg. The coefficient of
static friction between the two blocks is 0.4, and the coefficient of
static friction between Block B and the horizontal surface is 0.3.
What is the maximum horizontal force that can be applied to Block
B without causing Block A to slide on Block B?
4. Problem 4:
o Two blocks, A and B, are stacked on top of each other. Block A has a
mass of 5 kg, and Block B has a mass of 6 kg. The coefficient of
static friction between the two blocks is 0.55, and the coefficient of
static friction between Block B and the horizontal surface is 0.45.
What is the maximum horizontal force that can be applied to Block
B without causing Block A to slide on Block B?
5. Problem 5:
o Two blocks, A and B, are stacked on top of each other. Block A has a
mass of 6 kg, and Block B has a mass of 7 kg. The coefficient of
static friction between the two blocks is 0.5, and the coefficient of
static friction between Block B and the horizontal surface is 0.4.
What is the maximum horizontal force that can be applied to Block
B without causing Block A to slide on Block B?