The discussion revolves around determining the maximum safe upward acceleration of a concrete block being lifted by a crane, given the crane's maximum safe working load and the block's mass. The subject area includes dynamics and forces, particularly focusing on the relationship between force, mass, and acceleration.
The discussion includes attempts to clarify the correct approach to calculating the net force and acceleration. Some participants have provided calculations that lead to a revised understanding of the problem, indicating a productive exploration of the topic, though no consensus has been reached on the final answer.
Participants note the importance of considering gravitational force in the calculations, which affects the net force available for acceleration. The original poster's calculations are challenged, highlighting the need for careful consideration of all forces involved.
raamishstuden said:Homework Statement
A crane has a maximum safe working load of 1.2 * 10^4 N and is used to lift a concrete block of mass 1000kg. What is the maximum safe upward acceleration of the block while being lifted?
Homework Equations
F=ma
The Attempt at a Solution
F=mα
1.2*10^4=1000*α
α= 12m/s2
The answer is 2.2 m/s2
raamishstuden said:Oh! I got it. Here is the solution. Is it right?
F-f=ma
(1.2*10^4)-(9.81*1000)=1000*a
2190=1000a
a=2.19
=2.2 ms-2