[別館]球面倶楽部零八式markIISR

東大入試数学中心。解説なので解答としては不十分。出題年度で並ぶようにしている。大人の解法やうまい解法は極めて主観的に決めている。

1917年(大正6年)東京帝國大學工科大學入試には数学がなかった

と思われる。

[1] (物理學)With what velocity must a lead bullet, at a temperature of 15^{\circ}\mbox{C}, strike a nonconducting rigid target in order that the heat produced may be just sufficient to melt it ?

Melting point of lead =335^{\circ}\mbox{C}.
Latent heat of fusion=5.4C.G.S. unit.
Mean specific heat =0.032

[2] (化學)Explain with some examples the bleaching actions of sulphur dioxide, bleaching powder and sun light.

[3] (力學)A rigid body oscillates under gravity about a horizontal axis. The particulats with regard to the motion are as follows: ---

The moment of interia of the body about the axis of suspention ... I;
The amplitude of oscillation ... a;
The period of oscillation ... T.

Find the maximum angular velocity of the body.