大家好,最近在做課本上的習題,由於簡諧運動這部分,跟高中有很大的不同,搞的我
霧濛濛,不會的問題很多,在此提出幾題,藉以釐清觀念,煩請前輩們不吝指教
1.In Fig. 15-39, block 2 of mass 2.20 kg oscillates on the end of a spring
in SHM with a period of 28.00 ms. The position of the block is given by
x= (1.80 cm) cos(ωt + π/2). Block 1 of mass 4.40 kg slides toward block 2
with a velocity of magnitude 5.50 m/s,directed along the spring's length.
The two blocks undergo a completely inelastic collision at time t = 7.00 ms.
(The duration of the collision is much less than the period of motion.)
Q:What is the amplitude of the SHM after the collision?
圖:http://ppt.cc/DeNB
這題牽涉到很多部分,碰撞時的位置也要考慮進去,讓我不知從何下手@@
2. The 3.30 kg cube in Fig. 15-45 has edge lengths d = 7.60 cm and is mounted
on an axle through its center. A spring (k = 1150 N/m) connects the cube's
upper corner to a rigid wall. Initially the spring is at its rest length.
If the cube is rotated 3.00° and released, what is the period of the
resulting SHM?
圖:http://ppt.cc/F_sF
第一次遇見這種題目|||Orz,也是不知道該怎麼下手
3.A 1500 kg car carrying four 75 kg people travels over a “washboard” dirt
road with corrugations 3.5 m apart. The car bounces with maximum amplitude
when its speed is 15 km/h.
Q: When the car stops, and the people get out, by how much does the car
body rise on its suspension?
4.The suspension system of a 2200 kg automobile "sags" 9.2 cm when the
chassis is placed on it. Also, the oscillation amplitude decreases by 49%
each cycle. Estimate the values of
Q:(a) the spring constant k and
(b) the damping constant b for the spring and shock absorber system of one
wheel, assuming each wheel supports 550 kg.
3.4題感覺是很類似的題目,不過我連題目都讀不太懂就是了...QQ"
5.In the overhead view of Fig. 15-46, a long uniform rod of mass m = 0.21 kg
is free to rotate in a horizontal plane about a vertical axis through its
center. A spring with force constant 110 N/m is connected horizontally
between one end of the rod and a fixed wall. When the rod is in equilibrium,
it is parallel to the wall.
Q:What is the period of the small oscillations that
result when the rod is rotated slightly and released?
圖:http://ppt.cc/wryK
這題我想要用力的概念去做,但是題目沒有給我棍長,讓我覺得式子怪怪的,不知道該
怎麼去解出我想要的東西
以上問題,煩請板友們解惑,感激不盡 m(_ _)m
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