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Kinetics

Problem: Two Bodies Supported by a Pulley System

The two bodies A and B are supported by a system of light cords and pulleys, which are frictionless and of negligible weight. Block A is 290N and B is 880N. Calculate the acceleration of each block after release and the tension in the main cord.

Dynamics of Rigid Bodies – Problem: Two Bodies Supported by a Pulley System – Diagram Dynamics of Rigid Bodies – Problem: Two Bodies Supported by a Pulley System – Diagram Dynamics of Rigid Bodies – Problem: Two Bodies Supported by a Pulley System – Diagram

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Dynamics of Rigid Bodies – Problem: Two Bodies Supported by a Pulley System – Diagram Dynamics of Rigid Bodies – Problem: Two Bodies Supported by a Pulley System – Diagram Dynamics of Rigid Bodies – Problem: Two Bodies Supported by a Pulley System – Diagram Dynamics of Rigid Bodies – Problem: Two Bodies Supported by a Pulley System – Diagram Dynamics of Rigid Bodies – Problem: Two Bodies Supported by a Pulley System – Diagram

Problem: Block Acted on by an Inclined Force

A 3kg block is acted on by a 25N force that acts 37ΒΊ from the horizontal. The kinetic coefficient of friction is 0.2. What is the acceleration of the block?

Dynamics of Rigid Bodies – Problem: Block Acted on by an Inclined Force – Diagram
Dynamics of Rigid Bodies – Problem: Block Acted on by an Inclined Force – Diagram

Problem: Block of Ice Sliding down an Incline

A 100-kg block of ice is released at the top of a 30ΒΊ incline 10m above the ground. If the slight melting of the ice renders the surface frictionless, calculate the velocity of the block at the foot of the incline.

Dynamics of Rigid Bodies – Problem: Block of Ice Sliding down an Incline – Diagram
Dynamics of Rigid Bodies – Problem: Block of Ice Sliding down an Incline – Diagram

Problem: Two Masses Connected by a Rope

A 5-kg block has a rope of mass 2kg attached to its underside and a 3-kg block is suspended from the other end of the rope. The whole system is accelerated upward at 2m/s2 by an external force F. Determine:
a) The force F;
b) The net force in the rope;
c) The tension at the middle of the rope

Dynamics of Rigid Bodies – Problem: Two Masses Connected by a Rope – Diagram
Dynamics of Rigid Bodies – Problem: Two Masses Connected by a Rope – Diagram

Problem: Scale Reading as Elevator Moves Up/Down

A woman stands on a scale while riding in an elevator. When the elevator is at rest, the scale reads 125lbs. What will be the reading of the scale when the elevator accelerates?
a. upward at 4ft/s2
b. downward at 4ft/s2

Dynamics of Rigid Bodies – Problem: Scale Reading as Elevator Moves Up/Down – Diagram
Dynamics of Rigid Bodies – Problem: Scale Reading as Elevator Moves Up/Down – Diagram

Problem:Rope Connecting Two Blocks on an Inclined and Horizontal Surface

A light rope connects two blocks with mass 3kg and 5kg and slide on a frictionless surface as shown. A force F=10N acts on m2 at 20ΒΊ to the horizontal. Find the acceleration of the system and the tension in the rope.

Dynamics of Rigid Bodies – Problem:Rope Connecting Two Blocks on an Inclined and Horizontal Surface – Diagram
Dynamics of Rigid Bodies – Problem:Rope Connecting Two Blocks on an Inclined and Horizontal Surface – Diagram Dynamics of Rigid Bodies – Problem:Rope Connecting Two Blocks on an Inclined and Horizontal Surface – Diagram

Problem:Two Bodies Connected by a Rigid Rod (Relative Motion)

Two bodies A and B shown at the right, weighing 400lb and 300lb, respectively, are connected by a rigid bar 10ft. long and of negligible weight and move along the smooth surfaces shown. If the start from rest at the given position, determine the acceleration of B at this instant.

Dynamics of Rigid Bodies – Problem:Two Bodies Connected by a Rigid Rod (Relative Motion) – Diagram
Dynamics of Rigid Bodies – Problem:Two Bodies Connected by a Rigid Rod (Relative Motion) – Diagram Dynamics of Rigid Bodies – Problem:Two Bodies Connected by a Rigid Rod (Relative Motion) – Diagram
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