Cold War Timeline By Xiaotong Liu Jul 27, 1960 John F. Kennedy win Nixon and become a president Apr 27, 1961 The united states invaded Cuba's Bay of pigs Jul 27, 1961 President Kennedy sent special Forces troops to help fight the Vietcong Jul 27, 1962 American intelligence agencies photographed Soviet nuclear missile installations in Cuba Aug 27, 1962 after 6 tense days, the Soviets backed off Jul 27, 1963 first Nuclear Test Ban Treaty Jul 27, 1964 President Johnson faced his first crisis in Vietnam