What is Fitt’s Law?
The relationship between movement time (MT) and Index of Difficulty (ID)
as ID increases, MT linearly increases
MT = a + b * log_2(2D/W)
Where MT = Movement Time
a, b = empirically derived constants
D = distance of movement from start to target center
W = width of the target
What is movement time?
Movement time is the time required to physically make the response called the stimulus
Time required to complete a movement depends on the nature of the movement and the degree accuracy required
MT = a + b * log_2(2D/W)
What is the relative difficult of the task called for Fitt’s Law?
Index of Difficulty
ID = log_2(2D/W)
What is Hick’s Law?
The time required to make a decision (reaction time) is linearly related to the amount of information that must be processed in coming to that decision
Reaction Time = a + b * log_2(N)
Where N = number of choices
H = log_2(N); measured in bits
What does number of bits measure in Hick’s Law?
the number of choices (its information)
It is directly proportional to the number of bits of information, i.e., log_2(1/pi), where pi is the probability of each stimulus
Reaction Time = a * sum(pi * log_2(N)), but when stimuli are equally likely it turns into
Reaction Time = a + b * log_2(N)
What is anatomy?
study of the structure of the body
What is physiology?
study the functions and relationships of body parts
What is biomechanics?
study of the structure and function of biology systems by means of the methods of “mechanics”
What are reasons why we care about the musculoskeletal system?
we need to know physiological limits to properly design
Provide guidelines for design
Minimize costs of injuries
Older population
What are the 3 components of the musculoskeletal system?
Connective Tissues
Joints
Skeletal Muscles
Where are connective tissues found?
Bones, ligaments, tendons, cartilage
Mechanical system
Where are joints found?
Unions with DoF
Mechanical system
Where are skeletal muscles found?
Muscle fibers, connective tissues, nerve excitation
Force generations
What are the functions of connective tissues?
Force transmission and movement
Metabolism - Blood cell manufacture
Defense - Skin, vital organs
Storage / Buffer - Calcium and phosphorus
What are the two fiber types associated with connective tissues?
Collagen
Elastin
What are collagen fibers?
Collagen fibers make connective tissue strong and stiff, allowing it to withstand high tensile forces without stretching much.
They contribute to rigidity, structural integrity, and load-bearing capacity.
Tissues rich in collagen (e.g., tendons, ligaments) can handle high tension but have low elasticity.
What are elastin fibers?
Elastin fibers allow connective tissues to stretch and then return to their original shape.
They contribute to flexibility and resilience under deformation.
Tissues rich in elastin (e.g., skin, lung tissue, elastic arteries) can stretch repeatedly without losing shape.
What are mechanical properties of connective tissue determined by?
proportions of these fiber types and their geometric organization
What are tendons?
Connect muscle to bones
Mainly longitudinal collagen with some elastic fibers
E.g., multiple tendons with carpal tunnel
What are ligaments?
Connect bone to bone
Mainly longitudinal collagen with some oblique fibers and some elastin fibers
E.g., ACL injury
Mechanical properties of material
Correspond to the change in shape of material (strain) for different applied loads (stress)
What do mechanical properties depend on?
the physical structure or arrangement of the material being loaded
characteristics of force acting on the materials include:
- magnitude
- direction
- velocity, acceleration
temperature of material
What is stress?
force/unit area that results from an applied load (tension)
What is strain?
physical deformation response of a material
ex: elongation of material