SOLVE FOR ACCELERATION OF BLOCKS & TENSION SYMBOLICALLY (i) Solve for the magnitude of acceleration of the blocks in terms of m₁, m₂ and g. a = (ii) Solve for the magnitude of 7 in the strings in terms of m₁, m₂ and g. T= Sense-making: For the case where m₁ = 0, what do you predict the acceleration of m₂ to be? What do you predict 7 to be? Do your equations support your prediction? SOLVE WITH NUMERICAL VALUES Block 1 has mass 2 kg and block 2 has mass 4.2 kg. Assume all quantities are correct to 3 significant figures. (e) Using the rewritten equations from part (b) and (c) and part (d) find the magnitude of the acceleration of the two blocks. Enter to 3 significant figures a= m (f) Calculate the tension in the string. Enter to 3 significant figures T= N Think: How would the answers for part (e) and (f) change if instead you chose downward as positive and upward as negative direction.
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
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