第二次力学作业
Q1-Q3 #
《Freedman University Physics_13th-Mechanics》problems:
P174
- 5.121
- 5.124
- 5.125
Q4(textbook P152) #
A small ball falls with initial velocity v_0 in a liquid with a drag force satisfying $F=-kv$. Find the change in velocity and displacement of the ball with time
Q5 #
As shown in the figure, a small ring of mass m is placed on a large smooth circle of radius $R$. The latter rotates in the horizontal plane with a uniform angular velocity $w$ around an axis that passes through $O$ and is perpendicular to the ring surface.
- find the tangential acceleration of the small ring when it is near point B on the large ring
- a moment when the small ring is located at point A , the speed is $v$, find the support force of the ring to the small ring
Q6 #
There are two masses A and B with masses $m_1$ and $m_2$. (1) If the two masses A and B rotate around each other to form a two-body binary and the radius of rotation is $r$, find the acceleration of B with A as the reference system. (2) If there is a force $F$ between the two masses, prove that the mass $m_2$ of B can be replaced by the approximate mass $μ$ in the A system, so that the force on B does not need to be corrected (without adding the inertia force), and find μ. $(F=μa)$
Q7 #
Cycloid is one of the many fascinating curves in mathematics. It is defined as a circle that rolls slowly along a straight line, the trajectory through which a fixed point on the circle passes is called a cycloid. Using a purely rolling circle
- Calculate the equation of the Cycloid
- Calculate the radius of curvature of the vertex
